464770077464 has 128 divisors (see below), whose sum is σ = 1121979617280. Its totient is φ = 175166668800.

The previous prime is 464770077449. The next prime is 464770077493.

464770077464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464770077464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86177552 + ... + 86182944.

It is an arithmetic number, because the mean of its divisors is an integer number (8765465760).

Almost surely, 2^464770077464 is an apocalyptic number.

464770077464 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 464770077464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560989808640).

464770077464 is an abundant number, since it is smaller than the sum of its proper divisors (657209539816).

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

464770077464 is a wasteful number, since it uses less digits than its factorization.

464770077464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 56.

The spelling of 464770077464 in words is "four hundred sixty-four billion, seven hundred seventy million, seventy-seven thousand, four hundred sixty-four".