45602636800 has 264 divisors, whose sum is σ = 133371384320. Its totient is φ = 15128985600.

The previous prime is 45602636759. The next prime is 45602636819. The reversal of 45602636800 is 863620654.

It is a happy number.

It is a super-2 number, since 2×45602636800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5551096 + ... + 5559304.

Almost surely, 2^45602636800 is an apocalyptic number.

45602636800 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 45602636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685692160).

45602636800 is an abundant number, since it is smaller than the sum of its proper divisors (87768747520).

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

45602636800 is a wasteful number, since it uses less digits than its factorization.

45602636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 45602636800 in words is "forty-five billion, six hundred two million, six hundred thirty-six thousand, eight hundred".