64945829520 has 480 divisors, whose sum is σ = 261712249344. Its totient is φ = 14223052800.

The previous prime is 64945829387. The next prime is 64945829539. The reversal of 64945829520 is 2592854946.

64945829520 is a `hidden beast` number, since 6 + 4 + 9 + 4 + 582 + 9 + 52 + 0 = 666.

64945829520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4832410 + ... + 4845830.

Almost surely, 2^64945829520 is an apocalyptic number.

64945829520 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 64945829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130856124672).

64945829520 is an abundant number, since it is smaller than the sum of its proper divisors (196766419824).

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

64945829520 is a wasteful number, since it uses less digits than its factorization.

64945829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 64945829520 in words is "sixty-four billion, nine hundred forty-five million, eight hundred twenty-nine thousand, five hundred twenty".