74065619496960 has 8320 divisors, whose sum is σ = 383631316992000. Its totient is φ = 13484225986560.

The previous prime is 74065619496949. The next prime is 74065619496971. The reversal of 74065619496960 is 6969491656047.

74065619496960 is a `hidden beast` number, since 7 + 4 + 0 + 65 + 6 + 19 + 496 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (74065619496949) and next prime (74065619496971).

It is a tau number, because it is divible by the number of its divisors (8320).

It is a super-2 number, since 2×74065619496960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2389213532145 + ... + 2389213532175.

Almost surely, 2^{74065619496960} is an apocalyptic number.

74065619496960 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 74065619496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191815658496000).

74065619496960 is an abundant number, since it is smaller than the sum of its proper divisors (309565697495040).

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

74065619496960 is a wasteful number, since it uses less digits than its factorization.

74065619496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 74065619496960 in words is "seventy-four trillion, sixty-five billion, six hundred nineteen million, four hundred ninety-six thousand, nine hundred sixty".