74160690912000 has 5184 divisors, whose sum is σ = 362016043683840. Its totient is φ = 14880983040000.

The previous prime is 74160690911837. The next prime is 74160690912017. The reversal of 74160690912000 is 21909606147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 158802335767 + ... + 158802336233.

It is an arithmetic number, because the mean of its divisors is an integer number (69833341760).

Almost surely, 2^{74160690912000} is an apocalyptic number.

74160690912000 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 74160690912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181008021841920).

74160690912000 is an abundant number, since it is smaller than the sum of its proper divisors (287855352771840).

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

74160690912000 is a wasteful number, since it uses less digits than its factorization.

74160690912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 74160690912000 in words is "seventy-four trillion, one hundred sixty billion, six hundred ninety million, nine hundred twelve thousand".