45426680640 has 336 divisors, whose sum is σ = 174085666560. Its totient is φ = 10777866240.

The previous prime is 45426680617. The next prime is 45426680641. The reversal of 45426680640 is 4608662454.

45426680640 is a `hidden beast` number, since 4 + 542 + 6 + 68 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45426680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473706 + ... + 1504214.

Almost surely, 2^45426680640 is an apocalyptic number.

45426680640 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 45426680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87042833280).

45426680640 is an abundant number, since it is smaller than the sum of its proper divisors (128658985920).

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

45426680640 is a wasteful number, since it uses less digits than its factorization.

45426680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 30577 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 45426680640 in words is "forty-five billion, four hundred twenty-six million, six hundred eighty thousand, six hundred forty".