464156542080 has 1920 divisors, whose sum is σ = 2153064862080. Its totient is φ = 93336883200.

The previous prime is 464156542019. The next prime is 464156542097. The reversal of 464156542080 is 80245651464.

It is a happy number.

464156542080 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 565 + 4 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 14972791665 + ... + 14972791695.

It is an arithmetic number, because the mean of its divisors is an integer number (1121387949).

Almost surely, 2^464156542080 is an apocalyptic number.

464156542080 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 464156542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076532431040).

464156542080 is an abundant number, since it is smaller than the sum of its proper divisors (1688908320000).

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

464156542080 is an equidigital number, since it uses as much as digits as its factorization.

464156542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 464156542080 in words is "four hundred sixty-four billion, one hundred fifty-six million, five hundred forty-two thousand, eighty".