476048380450656 has 768 divisors, whose sum is σ = 1436382202429440. Its totient is φ = 137038939914240.

The previous prime is 476048380450649. The next prime is 476048380450663. The reversal of 476048380450656 is 656054083840674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (476048380450649) and next prime (476048380450663).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28665517105 + ... + 28665533711.

It is an arithmetic number, because the mean of its divisors is an integer number (1870289326080).

Almost surely, 2^{476048380450656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476048380450656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718191101214720).

476048380450656 is an abundant number, since it is smaller than the sum of its proper divisors (960333821978784).

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

476048380450656 is a wasteful number, since it uses less digits than its factorization.

476048380450656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 66.

The spelling of 476048380450656 in words is "four hundred seventy-six trillion, forty-eight billion, three hundred eighty million, four hundred fifty thousand, six hundred fifty-six".