74646978560 has 512 divisors, whose sum is σ = 229357820160. Its totient is φ = 22649241600.

The previous prime is 74646978557. The next prime is 74646978569. The reversal of 74646978560 is 6587964647.

It is a tau number, because it is divible by the number of its divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 74646978493 and 74646978502.

It is not an unprimeable number, because it can be changed into a prime (74646978569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769556432 + ... + 769556528.

Almost surely, 2^74646978560 is an apocalyptic number.

74646978560 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 74646978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114678910080).

74646978560 is an abundant number, since it is smaller than the sum of its proper divisors (154710841600).

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

74646978560 is an equidigital number, since it uses as much as digits as its factorization.

74646978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 74646978560 in words is "seventy-four billion, six hundred forty-six million, nine hundred seventy-eight thousand, five hundred sixty".