74516863680 has 1344 divisors, whose sum is σ = 323107263360. Its totient is φ = 16303472640.

The previous prime is 74516863649. The next prime is 74516863741. The reversal of 74516863680 is 8636861547.

74516863680 is a `hidden beast` number, since 7 + 4 + 516 + 8 + 63 + 68 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1405978534 + ... + 1405978586.

It is an arithmetic number, because the mean of its divisors is an integer number (240407190).

Almost surely, 2^74516863680 is an apocalyptic number.

74516863680 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 74516863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161553631680).

74516863680 is an abundant number, since it is smaller than the sum of its proper divisors (248590399680).

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

74516863680 is an equidigital number, since it uses as much as digits as its factorization.

74516863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 74516863680 in words is "seventy-four billion, five hundred sixteen million, eight hundred sixty-three thousand, six hundred eighty".