74431201768875 has 128 divisors (see below), whose sum is σ = 157280026675200. Its totient is φ = 34024455648000.

The previous prime is 74431201768829. The next prime is 74431201768897. The reversal of 74431201768875 is 57886710213447.

It is a happy number.

74431201768875 is a `hidden beast` number, since 7 + 4 + 4 + 312 + 0 + 176 + 88 + 75 = 666.

It is not a de Polignac number, because 74431201768875 - 2¹⁵ = 74431201736107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1086219615 + ... + 1086288135.

It is an arithmetic number, because the mean of its divisors is an integer number (1228750208400).

Almost surely, 2^{74431201768875} is an apocalyptic number.

74431201768875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74431201768875 is an abundant number, since it is smaller than the sum of its proper divisors (82848824906325).

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

74431201768875 is a wasteful number, since it uses less digits than its factorization.

74431201768875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114531 (or 114515 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 74431201768875 in words is "seventy-four trillion, four hundred thirty-one billion, two hundred one million, seven hundred sixty-eight thousand, eight hundred seventy-five".