74744790120 has 2048 divisors, whose sum is σ = 365783040000. Its totient is φ = 13330759680.

The previous prime is 74744790089. The next prime is 74744790121. The reversal of 74744790120 is 2109744747.

It is a super-2 number, since 2×74744790120² (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 not an unprimeable number, because it can be changed into a prime (74744790121) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 900539599 + ... + 900539681.

It is an arithmetic number, because the mean of its divisors is an integer number (178605000).

Almost surely, 2^74744790120 is an apocalyptic number.

74744790120 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 74744790120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520000).

74744790120 is an abundant number, since it is smaller than the sum of its proper divisors (291038249880).

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

74744790120 is a wasteful number, since it uses less digits than its factorization.

74744790120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 74744790120 in words is "seventy-four billion, seven hundred forty-four million, seven hundred ninety thousand, one hundred twenty".