74920006440 has 192 divisors, whose sum is σ = 247328303040. Its totient is φ = 19665515520.

The previous prime is 74920006439. The next prime is 74920006561. The reversal of 74920006440 is 4460002947.

74920006440 is a `hidden beast` number, since 7 + 4 + 9 + 2 + 0 + 0 + 0 + 644 + 0 = 666.

It is a super-2 number, since 2×74920006440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74920006395 and 74920006404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8391819 + ... + 8400741.

It is an arithmetic number, because the mean of its divisors is an integer number (1288168245).

Almost surely, 2^74920006440 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 74920006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123664151520).

74920006440 is an abundant number, since it is smaller than the sum of its proper divisors (172408296600).

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

74920006440 is a wasteful number, since it uses less digits than its factorization.

74920006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 74920006440 in words is "seventy-four billion, nine hundred twenty million, six thousand, four hundred forty".