59978384640 has 216 divisors, whose sum is σ = 214675985160. Its totient is φ = 15442624512.

The previous prime is 59978384639. The next prime is 59978384659. The reversal of 59978384640 is 4648387995.

59978384640 is a `hidden beast` number, since 5 + 9 + 97 + 83 + 8 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215737344 + 59762647296 = 14688^2 + 244464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244314 + ... + 423846.

Almost surely, 2^59978384640 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 59978384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107337992580).

59978384640 is an abundant number, since it is smaller than the sum of its proper divisors (154697600520).

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

59978384640 is a wasteful number, since it uses less digits than its factorization.

59978384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179589 (or 179572 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 59978384640 in words is "fifty-nine billion, nine hundred seventy-eight million, three hundred eighty-four thousand, six hundred forty".