64115592480 has 288 divisors, whose sum is σ = 236040530544. Its totient is φ = 15787819008.

The previous prime is 64115592479. The next prime is 64115592481. The reversal of 64115592480 is 8429551146.

64115592480 is a `hidden beast` number, since 6 + 4 + 1 + 15 + 592 + 48 + 0 = 666.

64115592480 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 (64115592479) and next prime (64115592481).

It can be written as a sum of positive squares in 8 ways, for example, as 58160074896 + 5955517584 = 241164^2 + 77172^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×64115592480² (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 not an unprimeable number, because it can be changed into a prime (64115592481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272732 + ... + 1322148.

Almost surely, 2^64115592480 is an apocalyptic number.

64115592480 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 64115592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118020265272).

64115592480 is an abundant number, since it is smaller than the sum of its proper divisors (171924938064).

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

64115592480 is a wasteful number, since it uses less digits than its factorization.

64115592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49508 (or 49497 counting only the distinct ones).

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

The spelling of 64115592480 in words is "sixty-four billion, one hundred fifteen million, five hundred ninety-two thousand, four hundred eighty".