476145008640 has 1680 divisors, whose sum is σ = 2104163574912. Its totient is φ = 100902371328.

The previous prime is 476145008639. The next prime is 476145008641. The reversal of 476145008640 is 46800541674.

476145008640 is a `hidden beast` number, since 4 + 7 + 61 + 4 + 500 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (476145008639) and next prime (476145008641).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (476145008641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7106641887 + ... + 7106641953.

Almost surely, 2^476145008640 is an apocalyptic number.

476145008640 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 476145008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052081787456).

476145008640 is an abundant number, since it is smaller than the sum of its proper divisors (1628018566272).

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

476145008640 is an frugal number, since it uses more digits than its factorization.

476145008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 476145008640 in words is "four hundred seventy-six billion, one hundred forty-five million, eight thousand, six hundred forty".