74587422792960 has 1296 divisors, whose sum is σ = 336188337733248. Its totient is φ = 15498630512640.

The previous prime is 74587422792959. The next prime is 74587422792991. The reversal of 74587422792960 is 6929722478547.

It is a happy number.

74587422792960 is a `hidden beast` number, since 7 + 4 + 58 + 7 + 422 + 7 + 92 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263309322 + ... + 263592438.

Almost surely, 2^{74587422792960} is an apocalyptic number.

74587422792960 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 74587422792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168094168866624).

74587422792960 is an abundant number, since it is smaller than the sum of its proper divisors (261600914940288).

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

74587422792960 is a wasteful number, since it uses less digits than its factorization.

74587422792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283182 (or 283145 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 74587422792960 in words is "seventy-four trillion, five hundred eighty-seven billion, four hundred twenty-two million, seven hundred ninety-two thousand, nine hundred sixty".