74624596992 has 1056 divisors, whose sum is σ = 273143819520. Its totient is φ = 19322634240.

The previous prime is 74624596987. The next prime is 74624596997. The reversal of 74624596992 is 29969542647.

It is an interprime number because it is at equal distance from previous prime (74624596987) and next prime (74624596997).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74624596997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408011238 + ... + 1408011290.

It is an arithmetic number, because the mean of its divisors is an integer number (258658920).

Almost surely, 2^74624596992 is an apocalyptic number.

74624596992 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 74624596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136571909760).

74624596992 is an abundant number, since it is smaller than the sum of its proper divisors (198519222528).

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

74624596992 is a wasteful number, since it uses less digits than its factorization.

74624596992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 74624596992 in words is "seventy-four billion, six hundred twenty-four million, five hundred ninety-six thousand, nine hundred ninety-two".