74904721920 has 1280 divisors, whose sum is σ = 325830574080. Its totient is φ = 15941173248.

The previous prime is 74904721919. The next prime is 74904721933. The reversal of 74904721920 is 2912740947.

It is a happy number.

74904721920 is a `hidden beast` number, since 7 + 4 + 90 + 472 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×74904721920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 589800897 + ... + 589801023.

It is an arithmetic number, because the mean of its divisors is an integer number (254555136).

Almost surely, 2^74904721920 is an apocalyptic number.

74904721920 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 74904721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162915287040).

74904721920 is an abundant number, since it is smaller than the sum of its proper divisors (250925852160).

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

74904721920 is a wasteful number, since it uses less digits than its factorization.

74904721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 74904721920 in words is "seventy-four billion, nine hundred four million, seven hundred twenty-one thousand, nine hundred twenty".