477678387888000 has 2560 divisors, whose sum is σ = 1945930162176000. Its totient is φ = 115424704512000.

The previous prime is 477678387887993. The next prime is 477678387888137. The reversal of 477678387888000 is 888783876774.

477678387888000 is a `hidden beast` number, since 477 + 6 + 78 + 3 + 8 + 78 + 8 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 254219471061 + ... + 254219472939.

It is an arithmetic number, because the mean of its divisors is an integer number (760128969600).

Almost surely, 2^{477678387888000} is an apocalyptic number.

477678387888000 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 477678387888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972965081088000).

477678387888000 is an abundant number, since it is smaller than the sum of its proper divisors (1468251774288000).

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

477678387888000 is a wasteful number, since it uses less digits than its factorization.

477678387888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 5664669696, while the sum is 81.

The spelling of 477678387888000 in words is "four hundred seventy-seven trillion, six hundred seventy-eight billion, three hundred eighty-seven million, eight hundred eighty-eight thousand".