74373979680 has 2016 divisors, whose sum is σ = 362914473600. Its totient is φ = 14265538560.

The previous prime is 74373979661. The next prime is 74373979697. The reversal of 74373979680 is 8697937347.

74373979680 is a `hidden beast` number, since 7 + 437 + 39 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5721075354 + ... + 5721075366.

It is an arithmetic number, because the mean of its divisors is an integer number (180017100).

Almost surely, 2^74373979680 is an apocalyptic number.

74373979680 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 74373979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181457236800).

74373979680 is an abundant number, since it is smaller than the sum of its proper divisors (288540493920).

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

74373979680 is a wasteful number, since it uses less digits than its factorization.

74373979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 74373979680 in words is "seventy-four billion, three hundred seventy-three million, nine hundred seventy-nine thousand, six hundred eighty".