478970451680760 has 192 divisors, whose sum is σ = 1699360918819200. Its totient is φ = 116285344561152.

The previous prime is 478970451680723. The next prime is 478970451680771. The reversal of 478970451680760 is 67086154079874.

478970451680760 is a `hidden beast` number, since 4 + 7 + 8 + 97 + 0 + 451 + 6 + 80 + 7 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 700645440 + ... + 701328719.

It is an arithmetic number, because the mean of its divisors is an integer number (8850838118850).

Almost surely, 2^{478970451680760} is an apocalyptic number.

478970451680760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478970451680760 is an abundant number, since it is smaller than the sum of its proper divisors (1220390467138440).

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

478970451680760 is a wasteful number, since it uses less digits than its factorization.

478970451680760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401974262 (or 1401974255 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 478970451680760 in words is "four hundred seventy-eight trillion, nine hundred seventy billion, four hundred fifty-one million, six hundred eighty thousand, seven hundred sixty".