64153957824 has 448 divisors, whose sum is σ = 222474739200. Its totient is φ = 17915904000.

The previous prime is 64153957823. The next prime is 64153957849. The reversal of 64153957824 is 42875935146.

It is a happy number.

64153957824 is a `hidden beast` number, since 6 + 4 + 15 + 39 + 578 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64153957823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13360224 + ... + 13365024.

It is an arithmetic number, because the mean of its divisors is an integer number (496595400).

Almost surely, 2^64153957824 is an apocalyptic number.

64153957824 is a gapful number since it is divisible by the number (64) 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 64153957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111237369600).

64153957824 is an abundant number, since it is smaller than the sum of its proper divisors (158320781376).

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

64153957824 is a wasteful number, since it uses less digits than its factorization.

64153957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4873 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 64153957824 in words is "sixty-four billion, one hundred fifty-three million, nine hundred fifty-seven thousand, eight hundred twenty-four".