472546374158880 has 768 divisors, whose sum is σ = 1969060191436800. Its totient is φ = 103567406837760.

The previous prime is 472546374158879. The next prime is 472546374158897. The reversal of 472546374158880 is 88851473645274.

472546374158880 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 4 + 6 + 37 + 4 + 1 + 588 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472546374158799 and 472546374158808.

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, 99868659 + ... + 104493261.

It is an arithmetic number, because the mean of its divisors is an integer number (2563880457600).

Almost surely, 2^{472546374158880} is an apocalyptic number.

472546374158880 is a gapful number since it is divisible by the number (40) 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 472546374158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984530095718400).

472546374158880 is an abundant number, since it is smaller than the sum of its proper divisors (1496513817277920).

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

472546374158880 is a wasteful number, since it uses less digits than its factorization.

472546374158880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624774 (or 4624760 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 472546374158880 in words is "four hundred seventy-two trillion, five hundred forty-six billion, three hundred seventy-four million, one hundred fifty-eight thousand, eight hundred eighty".