472816830386880 has 2688 divisors, whose sum is σ = 2045645234380800. Its totient is φ = 99827664814080.

The previous prime is 472816830386843. The next prime is 472816830386891. The reversal of 472816830386880 is 88683038618274.

472816830386880 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 168 + 3 + 0 + 386 + 8 + 80 = 666.

It is a super-2 number, since 2×472816830386880² (a number of 30 digits) contains 22 as substring.

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 = 472816830386799 and 472816830386808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 306426979389 + ... + 306426980931.

Almost surely, 2^{472816830386880} is an apocalyptic number.

472816830386880 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 472816830386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022822617190400).

472816830386880 is an abundant number, since it is smaller than the sum of its proper divisors (1572828403993920).

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

472816830386880 is a wasteful number, since it uses less digits than its factorization.

472816830386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 472816830386880 in words is "four hundred seventy-two trillion, eight hundred sixteen billion, eight hundred thirty million, three hundred eighty-six thousand, eight hundred eighty".