476045734367840 has 384 divisors, whose sum is σ = 1390480852819968. Its totient is φ = 149977718415360.

The previous prime is 476045734367821. The next prime is 476045734367851. The reversal of 476045734367840 is 48763437540674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3355412105 + ... + 3355553975.

It is an arithmetic number, because the mean of its divisors is an integer number (3621043887552).

Almost surely, 2^{476045734367840} is an apocalyptic number.

476045734367840 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 476045734367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695240426409984).

476045734367840 is an abundant number, since it is smaller than the sum of its proper divisors (914435118452128).

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

476045734367840 is a wasteful number, since it uses less digits than its factorization.

476045734367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142950 (or 142942 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 68.

The spelling of 476045734367840 in words is "four hundred seventy-six trillion, forty-five billion, seven hundred thirty-four million, three hundred sixty-seven thousand, eight hundred forty".