74207877120 has 576 divisors, whose sum is σ = 289124821440. Its totient is φ = 17465868288.

The previous prime is 74207877113. The next prime is 74207877179. The reversal of 74207877120 is 2177870247.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27554494 + ... + 27557186.

It is an arithmetic number, because the mean of its divisors is an integer number (501952815).

Almost surely, 2^74207877120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74207877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144562410720).

74207877120 is an abundant number, since it is smaller than the sum of its proper divisors (214916944320).

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

74207877120 is a wasteful number, since it uses less digits than its factorization.

74207877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 74207877120 in words is "seventy-four billion, two hundred seven million, eight hundred seventy-seven thousand, one hundred twenty".