64501259940 has 216 divisors, whose sum is σ = 212217438888. Its totient is φ = 15850598400.

The previous prime is 64501259939. The next prime is 64501259993. The reversal of 64501259940 is 4995210546.

64501259940 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 12 + 599 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 32523236964 + 31978022976 = 180342^2 + 178824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23026540 + ... + 23029340.

It is an arithmetic number, because the mean of its divisors is an integer number (982488143).

Almost surely, 2^64501259940 is an apocalyptic number.

64501259940 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 64501259940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106108719444).

64501259940 is an abundant number, since it is smaller than the sum of its proper divisors (147716178948).

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

64501259940 is a wasteful number, since it uses less digits than its factorization.

64501259940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 64501259940 in words is "sixty-four billion, five hundred one million, two hundred fifty-nine thousand, nine hundred forty".