74642132940480 has 3024 divisors, whose sum is σ = 324986614318080. Its totient is φ = 16260080320512.

The previous prime is 74642132940457. The next prime is 74642132940517. The reversal of 74642132940480 is 8404923124647.

74642132940480 is a `hidden beast` number, since 7 + 4 + 6 + 42 + 1 + 32 + 94 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 378894075742 + ... + 378894075938.

Almost surely, 2^{74642132940480} is an apocalyptic number.

74642132940480 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 74642132940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162493307159040).

74642132940480 is an abundant number, since it is smaller than the sum of its proper divisors (250344481377600).

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

74642132940480 is a wasteful number, since it uses less digits than its factorization.

74642132940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 370 counting only the distinct ones).

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

The spelling of 74642132940480 in words is "seventy-four trillion, six hundred forty-two billion, one hundred thirty-two million, nine hundred forty thousand, four hundred eighty".