464032888080 has 640 divisors, whose sum is σ = 1623969202176. Its totient is φ = 108999475200.

The previous prime is 464032888069. The next prime is 464032888091. The reversal of 464032888080 is 80888230464.

It is an interprime number because it is at equal distance from previous prime (464032888069) and next prime (464032888091).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1712298345 + ... + 1712298615.

Almost surely, 2^464032888080 is an apocalyptic number.

464032888080 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 464032888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811984601088).

464032888080 is an abundant number, since it is smaller than the sum of its proper divisors (1159936314096).

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

464032888080 is a wasteful number, since it uses less digits than its factorization.

464032888080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 464032888080 in words is "four hundred sixty-four billion, thirty-two million, eight hundred eighty-eight thousand, eighty".