65624081040 has 1200 divisors, whose sum is σ = 280788456960. Its totient is φ = 14143610880.

The previous prime is 65624080987. The next prime is 65624081053. The reversal of 65624081040 is 4018042656.

65624081040 is a `hidden beast` number, since 6 + 562 + 40 + 8 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65624080986 and 65624081004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 580744024 + ... + 580744136.

Almost surely, 2^65624081040 is an apocalyptic number.

65624081040 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 65624081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140394228480).

65624081040 is an abundant number, since it is smaller than the sum of its proper divisors (215164375920).

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

65624081040 is a wasteful number, since it uses less digits than its factorization.

65624081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 65624081040 in words is "sixty-five billion, six hundred twenty-four million, eighty-one thousand, forty".