463177677710064 has 160 divisors (see below), whose sum is σ = 1273716076953600. Its totient is φ = 144617973350400.

The previous prime is 463177677710063. The next prime is 463177677710141. The reversal of 463177677710064 is 460017776771364.

It is a super-2 number, since 2×463177677710064² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463177677709977 and 463177677710004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463177677710063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2680324464 + ... + 2680497264.

It is an arithmetic number, because the mean of its divisors is an integer number (7960725480960).

Almost surely, 2^{463177677710064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463177677710064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636858038476800).

463177677710064 is an abundant number, since it is smaller than the sum of its proper divisors (810538399243536).

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

463177677710064 is a wasteful number, since it uses less digits than its factorization.

463177677710064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205943 (or 205937 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 66.

The spelling of 463177677710064 in words is "four hundred sixty-three trillion, one hundred seventy-seven billion, six hundred seventy-seven million, seven hundred ten thousand, sixty-four".