64115876352 has 640 divisors, whose sum is σ = 207886694400. Its totient is φ = 17340825600.

The previous prime is 64115876339. The next prime is 64115876369. The reversal of 64115876352 is 25367851146.

It is a super-2 number, since 2×64115876352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660988368 + ... + 660988464.

It is an arithmetic number, because the mean of its divisors is an integer number (324822960).

Almost surely, 2^64115876352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64115876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943347200).

64115876352 is an abundant number, since it is smaller than the sum of its proper divisors (143770818048).

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

64115876352 is a wasteful number, since it uses less digits than its factorization.

64115876352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 64115876352 in words is "sixty-four billion, one hundred fifteen million, eight hundred seventy-six thousand, three hundred fifty-two".