74615460192 has 288 divisors, whose sum is σ = 261830237760. Its totient is φ = 19627868160.

The previous prime is 74615460149. The next prime is 74615460197. The reversal of 74615460192 is 29106451647.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74615460197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10715592 + ... + 10722552.

It is an arithmetic number, because the mean of its divisors is an integer number (909132770).

Almost surely, 2^74615460192 is an apocalyptic number.

74615460192 is a gapful number since it is divisible by the number (72) 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 74615460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130915118880).

74615460192 is an abundant number, since it is smaller than the sum of its proper divisors (187214777568).

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

74615460192 is a wasteful number, since it uses less digits than its factorization.

74615460192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 74615460192 in words is "seventy-four billion, six hundred fifteen million, four hundred sixty thousand, one hundred ninety-two".