45368527680 has 770 divisors, whose sum is σ = 189046845426. Its totient is φ = 10369949184.

The previous prime is 45368527679. The next prime is 45368527697. The reversal of 45368527680 is 8672586354.

45368527680 is a `hidden beast` number, since 4 + 5 + 36 + 8 + 527 + 6 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36294822144 + 9073705536 = 190512^2 + 95256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 109 ways as a sum of consecutive naturals, for example, 6481218237 + ... + 6481218243.

Almost surely, 2^45368527680 is an apocalyptic number.

45368527680 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 45368527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94523422713).

45368527680 is an abundant number, since it is smaller than the sum of its proper divisors (143678317746).

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

45368527680 is an frugal number, since it uses more digits than its factorization.

45368527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45368527680 in words is "forty-five billion, three hundred sixty-eight million, five hundred twenty-seven thousand, six hundred eighty".