470551680000 has 1100 divisors, whose sum is σ = 1822238212740. Its totient is φ = 120766464000.

The previous prime is 470551679989. The next prime is 470551680041. The reversal of 470551680000 is 86155074.

470551680000 is a `hidden beast` number, since 47 + 0 + 551 + 68 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 458448159744 + 12103520256 = 677088^2 + 110016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1503359844 + ... + 1503360156.

Almost surely, 2^470551680000 is an apocalyptic number.

470551680000 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 470551680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911119106370).

470551680000 is an abundant number, since it is smaller than the sum of its proper divisors (1351686532740).

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

470551680000 is an equidigital number, since it uses as much as digits as its factorization.

470551680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 470551680000 in words is "four hundred seventy billion, five hundred fifty-one million, six hundred eighty thousand".