93734342640 has 80 divisors (see below), whose sum is σ = 322862743200. Its totient is φ = 24995824128.

The previous prime is 93734342627. The next prime is 93734342651. The reversal of 93734342640 is 4624343739.

93734342640 is a `hidden beast` number, since 93 + 73 + 434 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×93734342640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21695605 + ... + 21699924.

It is an arithmetic number, because the mean of its divisors is an integer number (4035784290).

Almost surely, 2^93734342640 is an apocalyptic number.

93734342640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93734342640 is an abundant number, since it is smaller than the sum of its proper divisors (229128400560).

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

93734342640 is a wasteful number, since it uses less digits than its factorization.

93734342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43395551 (or 43395539 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 93734342640 in words is "ninety-three billion, seven hundred thirty-four million, three hundred forty-two thousand, six hundred forty".