462770077264 has 40 divisors (see below), whose sum is σ = 1029608074080. Its totient is φ = 199278979200.

The previous prime is 462770077193. The next prime is 462770077291.

462770077264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462770077264² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69190747 + ... + 69197434.

It is an arithmetic number, because the mean of its divisors is an integer number (25740201852).

Almost surely, 2^462770077264 is an apocalyptic number.

462770077264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

462770077264 is an abundant number, since it is smaller than the sum of its proper divisors (566837996816).

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

462770077264 is a wasteful number, since it uses less digits than its factorization.

462770077264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138388219 (or 138388213 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 52.

The spelling of 462770077264 in words is "four hundred sixty-two billion, seven hundred seventy million, seventy-seven thousand, two hundred sixty-four".