74372999648640 has 768 divisors, whose sum is σ = 316671761260800. Its totient is φ = 14640750673920.

The previous prime is 74372999648639. The next prime is 74372999648663. The reversal of 74372999648640 is 4684699927347.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17771502 + ... + 21553938.

It is an arithmetic number, because the mean of its divisors is an integer number (412333022475).

Almost surely, 2^{74372999648640} is an apocalyptic number.

74372999648640 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 74372999648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158335880630400).

74372999648640 is an abundant number, since it is smaller than the sum of its proper divisors (242298761612160).

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

74372999648640 is a wasteful number, since it uses less digits than its factorization.

74372999648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782503 (or 3782484 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 78.

The spelling of 74372999648640 in words is "seventy-four trillion, three hundred seventy-two billion, nine hundred ninety-nine million, six hundred forty-eight thousand, six hundred forty".