74047260672 has 1440 divisors, whose sum is σ = 303671047680. Its totient is φ = 17517772800.

The previous prime is 74047260667. The next prime is 74047260739. The reversal of 74047260672 is 27606274047.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2388621297 + ... + 2388621327.

It is an arithmetic number, because the mean of its divisors is an integer number (210882672).

Almost surely, 2^74047260672 is an apocalyptic number.

74047260672 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 74047260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151835523840).

74047260672 is an abundant number, since it is smaller than the sum of its proper divisors (229623787008).

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

74047260672 is a wasteful number, since it uses less digits than its factorization.

74047260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 74047260672 in words is "seventy-four billion, forty-seven million, two hundred sixty thousand, six hundred seventy-two".