476601459840 has 2304 divisors, whose sum is σ = 2085821337600. Its totient is φ = 103464345600.

The previous prime is 476601459827. The next prime is 476601459877. The reversal of 476601459840 is 48954106674.

476601459840 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 0 + 1 + 4 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 11083754859 + ... + 11083754901.

It is an arithmetic number, because the mean of its divisors is an integer number (905304400).

Almost surely, 2^476601459840 is an apocalyptic number.

476601459840 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 476601459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042910668800).

476601459840 is an abundant number, since it is smaller than the sum of its proper divisors (1609219877760).

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

476601459840 is a wasteful number, since it uses less digits than its factorization.

476601459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 476601459840 in words is "four hundred seventy-six billion, six hundred one million, four hundred fifty-nine thousand, eight hundred forty".