359793164640 has 384 divisors, whose sum is σ = 1428919252992. Its totient is φ = 74060513280.

The previous prime is 359793164581. The next prime is 359793164659. The reversal of 359793164640 is 46461397953.

It is a super-2 number, since 2×359793164640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1690429 + ... + 1891331.

It is an arithmetic number, because the mean of its divisors is an integer number (3721143888).

Almost surely, 2^359793164640 is an apocalyptic number.

359793164640 is a gapful number since it is divisible by the number (30) 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 359793164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714459626496).

359793164640 is an abundant number, since it is smaller than the sum of its proper divisors (1069126088352).

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

359793164640 is a wasteful number, since it uses less digits than its factorization.

359793164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200982 (or 200974 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

It can be divided in two parts, 3597931 and 64640, that added together give a triangular number (3662571 = T₂₇₀₆).

The spelling of 359793164640 in words is "three hundred fifty-nine billion, seven hundred ninety-three million, one hundred sixty-four thousand, six hundred forty".