74642964480 has 600 divisors, whose sum is σ = 306019663488. Its totient is φ = 17050632192.

The previous prime is 74642964443. The next prime is 74642964491. The reversal of 74642964480 is 8446924647.

74642964480 is a `hidden beast` number, since 74 + 6 + 4 + 2 + 96 + 4 + 480 = 666.

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 39 ways as a sum of consecutive naturals, for example, 46447837 + ... + 46449443.

Almost surely, 2^74642964480 is an apocalyptic number.

74642964480 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 74642964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153009831744).

74642964480 is an abundant number, since it is smaller than the sum of its proper divisors (231376699008).

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

74642964480 is an equidigital number, since it uses as much as digits as its factorization.

74642964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 74642964480 in words is "seventy-four billion, six hundred forty-two million, nine hundred sixty-four thousand, four hundred eighty".