74207752920 has 384 divisors, whose sum is σ = 293742858240. Its totient is φ = 15878522880.

The previous prime is 74207752909. The next prime is 74207752939. The reversal of 74207752920 is 2925770247.

It is a Cunningham number, because it is equal to 272411²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2710500 + ... + 2737740.

It is an arithmetic number, because the mean of its divisors is an integer number (764955360).

Almost surely, 2^74207752920 is an apocalyptic number.

74207752920 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 74207752920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146871429120).

74207752920 is an abundant number, since it is smaller than the sum of its proper divisors (219535105320).

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

74207752920 is a wasteful number, since it uses less digits than its factorization.

74207752920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27335 (or 27328 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 74207752920 in words is "seventy-four billion, two hundred seven million, seven hundred fifty-two thousand, nine hundred twenty".