74906919360 has 1344 divisors, whose sum is σ = 341717376000. Its totient is φ = 14923948032.

The previous prime is 74906919289. The next prime is 74906919371. The reversal of 74906919360 is 6391960947.

74906919360 is a `hidden beast` number, since 7 + 490 + 6 + 9 + 1 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×74906919360² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74906919297 and 74906919306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243996327 + ... + 243996633.

It is an arithmetic number, because the mean of its divisors is an integer number (254254000).

Almost surely, 2^74906919360 is an apocalyptic number.

74906919360 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 74906919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170858688000).

74906919360 is an abundant number, since it is smaller than the sum of its proper divisors (266810456640).

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

74906919360 is a wasteful number, since it uses less digits than its factorization.

74906919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 74906919360 in words is "seventy-four billion, nine hundred six million, nine hundred nineteen thousand, three hundred sixty".