477070091578080 has 6144 divisors, whose sum is σ = 2443430707200000. Its totient is φ = 85417655500800.

The previous prime is 477070091577991. The next prime is 477070091578081. The reversal of 477070091578080 is 80875190070774.

477070091578080 is a `hidden beast` number, since 477 + 0 + 7 + 0 + 0 + 9 + 1 + 5 + 7 + 80 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 477070091577999 and 477070091578017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477070091578081) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 285841875486 + ... + 285841877154.

It is an arithmetic number, because the mean of its divisors is an integer number (397693800000).

Almost surely, 2^{477070091578080} is an apocalyptic number.

477070091578080 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 477070091578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221715353600000).

477070091578080 is an abundant number, since it is smaller than the sum of its proper divisors (1966360615621920).

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

477070091578080 is a wasteful number, since it uses less digits than its factorization.

477070091578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 477070091578080 in words is "four hundred seventy-seven trillion, seventy billion, ninety-one million, five hundred seventy-eight thousand, eighty".