45297008640 has 768 divisors, whose sum is σ = 180341834400. Its totient is φ = 10418651136.

The previous prime is 45297008633. The next prime is 45297008651. The reversal of 45297008640 is 4680079254.

It is a happy number.

45297008640 is a `hidden beast` number, since 4 + 529 + 7 + 0 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×45297008640³ (a number of 33 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 325877691 + ... + 325877829.

Almost surely, 2^45297008640 is an apocalyptic number.

45297008640 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 45297008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90170917200).

45297008640 is an abundant number, since it is smaller than the sum of its proper divisors (135044825760).

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

45297008640 is a wasteful number, since it uses less digits than its factorization.

45297008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45297008640 in words is "forty-five billion, two hundred ninety-seven million, eight thousand, six hundred forty".