464347134720 has 864 divisors, whose sum is σ = 1985221754880. Its totient is φ = 97820835840.

The previous prime is 464347134703. The next prime is 464347134751. The reversal of 464347134720 is 27431743464.

464347134720 is a `hidden beast` number, since 46 + 43 + 471 + 34 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56685825 + ... + 56694015.

Almost surely, 2^464347134720 is an apocalyptic number.

464347134720 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 464347134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992610877440).

464347134720 is an abundant number, since it is smaller than the sum of its proper divisors (1520874620160).

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

464347134720 is a wasteful number, since it uses less digits than its factorization.

464347134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 464347134720 in words is "four hundred sixty-four billion, three hundred forty-seven million, one hundred thirty-four thousand, seven hundred twenty".