45062645760 has 720 divisors, whose sum is σ = 177932254500. Its totient is φ = 10899947520.

The previous prime is 45062645699. The next prime is 45062645779. The reversal of 45062645760 is 6754626054.

45062645760 is a `hidden beast` number, since 4 + 50 + 6 + 26 + 4 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45052609536 + 10036224 = 212256^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100362016 + ... + 100362464.

Almost surely, 2^45062645760 is an apocalyptic number.

45062645760 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 45062645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88966127250).

45062645760 is an abundant number, since it is smaller than the sum of its proper divisors (132869608740).

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

45062645760 is a wasteful number, since it uses less digits than its factorization.

45062645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45062645760 in words is "forty-five billion, sixty-two million, six hundred forty-five thousand, seven hundred sixty".