74047088640 has 768 divisors, whose sum is σ = 282763353600. Its totient is φ = 16194207744.

The previous prime is 74047088593. The next prime is 74047088663. The reversal of 74047088640 is 4688074047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74047088640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831989716 + ... + 831989804.

It is an arithmetic number, because the mean of its divisors is an integer number (368181450).

Almost surely, 2^74047088640 is an apocalyptic number.

74047088640 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 74047088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141381676800).

74047088640 is an abundant number, since it is smaller than the sum of its proper divisors (208716264960).

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

74047088640 is a wasteful number, since it uses less digits than its factorization.

74047088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 74047088640 in words is "seventy-four billion, forty-seven million, eighty-eight thousand, six hundred forty".