464077770464 has 192 divisors, whose sum is σ = 1200894170112. Its totient is φ = 171163238400.

The previous prime is 464077770433. The next prime is 464077770467.

464077770464 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464077770467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5454974 + ... + 5539394.

It is an arithmetic number, because the mean of its divisors is an integer number (6254657136).

Almost surely, 2^464077770464 is an apocalyptic number.

464077770464 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 464077770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600447085056).

464077770464 is an abundant number, since it is smaller than the sum of its proper divisors (736816399648).

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

464077770464 is a wasteful number, since it uses less digits than its factorization.

464077770464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84569 (or 84561 counting only the distinct ones).

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

The spelling of 464077770464 in words is "four hundred sixty-four billion, seventy-seven million, seven hundred seventy thousand, four hundred sixty-four".