45679999680 has 448 divisors, whose sum is σ = 186935546880. Its totient is φ = 10284392448.

The previous prime is 45679999669. The next prime is 45679999681. The reversal of 45679999680 is 8699997654.

45679999680 is a `hidden beast` number, since 456 + 7 + 9 + 9 + 9 + 96 + 80 = 666.

45679999680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45679999599 and 45679999608.

It is not an unprimeable number, because it can be changed into a prime (45679999681) 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, 4046524 + ... + 4057796.

Almost surely, 2^45679999680 is an apocalyptic number.

45679999680 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 45679999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93467773440).

45679999680 is an abundant number, since it is smaller than the sum of its proper divisors (141255547200).

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

45679999680 is a wasteful number, since it uses less digits than its factorization.

45679999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11373 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 45679999680 in words is "forty-five billion, six hundred seventy-nine million, nine hundred ninety-nine thousand, six hundred eighty".