93416487362640 has 1600 divisors, whose sum is σ = 380542620338496. Its totient is φ = 21024958316544.

The previous prime is 93416487362551. The next prime is 93416487362659. The reversal of 93416487362640 is 4626378461439.

93416487362640 is a `hidden beast` number, since 9 + 34 + 1 + 6 + 487 + 3 + 62 + 64 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 7191000012816 + 86225487349824 = 2681604^2 + 9285768^2 .

It is a super-2 number, since 2×93416487362640² (a number of 29 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 319 ways as a sum of consecutive naturals, for example, 57914746474 + ... + 57914748086.

Almost surely, 2^{93416487362640} is an apocalyptic number.

93416487362640 is a gapful number since it is divisible by the number (90) 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 93416487362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190271310169248).

93416487362640 is an abundant number, since it is smaller than the sum of its proper divisors (287126132975856).

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

93416487362640 is a wasteful number, since it uses less digits than its factorization.

93416487362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 93416487362640 in words is "ninety-three trillion, four hundred sixteen billion, four hundred eighty-seven million, three hundred sixty-two thousand, six hundred forty".