59840000640 has 640 divisors, whose sum is σ = 246753112320. Its totient is φ = 13536460800.

The previous prime is 59840000639. The next prime is 59840000653. The reversal of 59840000640 is 4600004895.

59840000640 is a `hidden beast` number, since 5 + 9 + 8 + 4 + 0 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 59840000595 and 59840000604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37375840 + ... + 37377440.

It is an arithmetic number, because the mean of its divisors is an integer number (385551738).

Almost surely, 2^59840000640 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 59840000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123376556160).

59840000640 is an abundant number, since it is smaller than the sum of its proper divisors (186913111680).

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

59840000640 is a wasteful number, since it uses less digits than its factorization.

59840000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 59840000640 in words is "fifty-nine billion, eight hundred forty million, six hundred forty", and thus it is an aban number.