46780877808764 has 192 divisors, whose sum is σ = 96015647548800. Its totient is φ = 19707985920000.

The previous prime is 46780877808757. The next prime is 46780877808767.

It is a happy number.

46780877808764 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46780877808767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13063633454 + ... + 13063637034.

It is an arithmetic number, because the mean of its divisors is an integer number (500081497650).

Almost surely, 2^{46780877808764} is an apocalyptic number.

46780877808764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46780877808764 is an abundant number, since it is smaller than the sum of its proper divisors (49234769740036).

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

46780877808764 is a wasteful number, since it uses less digits than its factorization.

46780877808764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 5664669696, while the sum is 80.

The spelling of 46780877808764 in words is "forty-six trillion, seven hundred eighty billion, eight hundred seventy-seven million, eight hundred eight thousand, seven hundred sixty-four".