463024472064 has 960 divisors, whose sum is σ = 1666933309440. Its totient is φ = 110698168320.

The previous prime is 463024472047. The next prime is 463024472089. The reversal of 463024472064 is 460274420364.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3379740604 + ... + 3379740740.

It is an arithmetic number, because the mean of its divisors is an integer number (1736388864).

Almost surely, 2^463024472064 is an apocalyptic number.

463024472064 is a gapful number since it is divisible by the number (44) 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 463024472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833466654720).

463024472064 is an abundant number, since it is smaller than the sum of its proper divisors (1203908837376).

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

463024472064 is a wasteful number, since it uses less digits than its factorization.

463024472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 463024472064 in words is "four hundred sixty-three billion, twenty-four million, four hundred seventy-two thousand, sixty-four".