73814059075680 has 5184 divisors, whose sum is σ = 361350978992640. Its totient is φ = 13770039951360.

The previous prime is 73814059075591. The next prime is 73814059075759. The reversal of 73814059075680 is 8657095041837.

73814059075680 is a `hidden beast` number, since 7 + 3 + 8 + 14 + 0 + 59 + 0 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 889326012919 + ... + 889326013001.

It is an arithmetic number, because the mean of its divisors is an integer number (69705049960).

Almost surely, 2^{73814059075680} is an apocalyptic number.

73814059075680 is a gapful number since it is divisible by the number (70) 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 73814059075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180675489496320).

73814059075680 is an abundant number, since it is smaller than the sum of its proper divisors (287536919916960).

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

73814059075680 is a wasteful number, since it uses less digits than its factorization.

73814059075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 73814059075680 in words is "seventy-three trillion, eight hundred fourteen billion, fifty-nine million, seventy-five thousand, six hundred eighty".