74693072160 has 768 divisors, whose sum is σ = 309232788480. Its totient is φ = 16482631680.

The previous prime is 74693072149. The next prime is 74693072219. The reversal of 74693072160 is 6127039647.

74693072160 is a `hidden beast` number, since 74 + 69 + 307 + 216 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 269649942 + ... + 269650218.

It is an arithmetic number, because the mean of its divisors is an integer number (402646860).

Almost surely, 2^74693072160 is an apocalyptic number.

74693072160 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 74693072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154616394240).

74693072160 is an abundant number, since it is smaller than the sum of its proper divisors (234539716320).

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

74693072160 is a wasteful number, since it uses less digits than its factorization.

74693072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 74693072160 in words is "seventy-four billion, six hundred ninety-three million, seventy-two thousand, one hundred sixty".