64358492315040 has 1920 divisors, whose sum is σ = 289577619910656. Its totient is φ = 13183082035200.

The previous prime is 64358492315017. The next prime is 64358492315063. The reversal of 64358492315040 is 4051329485346.

It is a happy number.

64358492315040 is a `hidden beast` number, since 6 + 4 + 3 + 584 + 9 + 2 + 3 + 1 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64358492315017) and next prime (64358492315063).

It is a super-2 number, since 2×64358492315040² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8573126967 + ... + 8573134473.

Almost surely, 2^{64358492315040} is an apocalyptic number.

64358492315040 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 64358492315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144788809955328).

64358492315040 is an abundant number, since it is smaller than the sum of its proper divisors (225219127595616).

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

64358492315040 is a wasteful number, since it uses less digits than its factorization.

64358492315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64358492315040 in words is "sixty-four trillion, three hundred fifty-eight billion, four hundred ninety-two million, three hundred fifteen thousand, forty".