74838660416 has 112 divisors (see below), whose sum is σ = 173780866560. Its totient is φ = 31667189760.

The previous prime is 74838660401. The next prime is 74838660437. The reversal of 74838660416 is 61406683847.

It is a super-2 number, since 2×74838660416² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 413690 + ... + 566406.

It is an arithmetic number, because the mean of its divisors is an integer number (1551614880).

Almost surely, 2^74838660416 is an apocalyptic number.

74838660416 is a gapful number since it is divisible by the number (76) 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 74838660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86890433280).

74838660416 is an abundant number, since it is smaller than the sum of its proper divisors (98942206144).

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

74838660416 is a wasteful number, since it uses less digits than its factorization.

74838660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152792 (or 152782 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 74838660416 in words is "seventy-four billion, eight hundred thirty-eight million, six hundred sixty thousand, four hundred sixteen".