74806107552 has 528 divisors, whose sum is σ = 249095619360. Its totient is φ = 21918988800.

The previous prime is 74806107503. The next prime is 74806107577. The reversal of 74806107552 is 25570160847.

74806107552 is a `hidden beast` number, since 7 + 4 + 80 + 6 + 10 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 74806107498 and 74806107507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1226329602 + ... + 1226329662.

Almost surely, 2^74806107552 is an apocalyptic number.

74806107552 is a gapful number since it is divisible by the number (72) 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 74806107552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124547809680).

74806107552 is an abundant number, since it is smaller than the sum of its proper divisors (174289511808).

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

74806107552 is an equidigital number, since it uses as much as digits as its factorization.

74806107552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 74806107552 in words is "seventy-four billion, eight hundred six million, one hundred seven thousand, five hundred fifty-two".