45977800680 has 192 divisors, whose sum is σ = 171393805440. Its totient is φ = 10471113216.

The previous prime is 45977800679. The next prime is 45977800681. The reversal of 45977800680 is 8600877954.

It is an interprime number because it is at equal distance from previous prime (45977800679) and next prime (45977800681).

It is a super-2 number, since 2×45977800680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45977800681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665107 + ... + 730973.

It is an arithmetic number, because the mean of its divisors is an integer number (892676070).

Almost surely, 2^45977800680 is an apocalyptic number.

45977800680 is a gapful number since it is divisible by the number (40) 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 45977800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85696902720).

45977800680 is an abundant number, since it is smaller than the sum of its proper divisors (125416004760).

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

45977800680 is a wasteful number, since it uses less digits than its factorization.

45977800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66168 (or 66161 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 45977800680 in words is "forty-five billion, nine hundred seventy-seven million, eight hundred thousand, six hundred eighty".