64962432138240 has 4224 divisors, whose sum is σ = 301485050560512. Its totient is φ = 13045644656640.

The previous prime is 64962432138181. The next prime is 64962432138269. The reversal of 64962432138240 is 4283123426946.

64962432138240 is a `hidden beast` number, since 6 + 4 + 9 + 624 + 3 + 2 + 1 + 3 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291311354769 + ... + 291311354991.

Almost surely, 2^{64962432138240} is an apocalyptic number.

64962432138240 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 64962432138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150742525280256).

64962432138240 is an abundant number, since it is smaller than the sum of its proper divisors (236522618422272).

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

64962432138240 is a wasteful number, since it uses less digits than its factorization.

64962432138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 64962432138240 in words is "sixty-four trillion, nine hundred sixty-two billion, four hundred thirty-two million, one hundred thirty-eight thousand, two hundred forty".