477677840640 has 1728 divisors, whose sum is σ = 2140697486592. Its totient is φ = 89181388800.

The previous prime is 477677840593. The next prime is 477677840663. The reversal of 477677840640 is 46048776774.

It is a super-2 number, since 2×477677840640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1103181864 + ... + 1103182296.

It is an arithmetic number, because the mean of its divisors is an integer number (1238829564).

Almost surely, 2^477677840640 is an apocalyptic number.

477677840640 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 477677840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070348743296).

477677840640 is an abundant number, since it is smaller than the sum of its proper divisors (1663019645952).

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

477677840640 is a wasteful number, since it uses less digits than its factorization.

477677840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 60.

The spelling of 477677840640 in words is "four hundred seventy-seven billion, six hundred seventy-seven million, eight hundred forty thousand, six hundred forty".