64118545920 has 960 divisors, whose sum is σ = 269580960000. Its totient is φ = 14319452160.

The previous prime is 64118545913. The next prime is 64118545927. The reversal of 64118545920 is 2954581146.

64118545920 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 8 + 54 + 592 + 0 = 666.

64118545920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64118545913) and next prime (64118545927).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×64118545920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64118545927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128493831 + ... + 128494329.

It is an arithmetic number, because the mean of its divisors is an integer number (280813500).

Almost surely, 2^64118545920 is an apocalyptic number.

64118545920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64118545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134790480000).

64118545920 is an abundant number, since it is smaller than the sum of its proper divisors (205462414080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64118545920 is a wasteful number, since it uses less digits than its factorization.

64118545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 64118545920 in words is "sixty-four billion, one hundred eighteen million, five hundred forty-five thousand, nine hundred twenty".