74814800672 has 96 divisors (see below), whose sum is σ = 157620012480. Its totient is φ = 34851548160.

The previous prime is 74814800663. The next prime is 74814800707. The reversal of 74814800672 is 27600841847.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33443138 + ... + 33445374.

It is an arithmetic number, because the mean of its divisors is an integer number (1641875130).

Almost surely, 2^74814800672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74814800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78810006240).

74814800672 is an abundant number, since it is smaller than the sum of its proper divisors (82805211808).

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

74814800672 is a wasteful number, since it uses less digits than its factorization.

74814800672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 74814800672 in words is "seventy-four billion, eight hundred fourteen million, eight hundred thousand, six hundred seventy-two".