45669536640 has 1152 divisors, whose sum is σ = 205323037920. Its totient is φ = 9614868480.

The previous prime is 45669536611. The next prime is 45669536651. The reversal of 45669536640 is 4663596654.

45669536640 is a `hidden beast` number, since 4 + 5 + 6 + 69 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99066010 + ... + 99066470.

Almost surely, 2^45669536640 is an apocalyptic number.

45669536640 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 45669536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102661518960).

45669536640 is an abundant number, since it is smaller than the sum of its proper divisors (159653501280).

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

45669536640 is a wasteful number, since it uses less digits than its factorization.

45669536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 45669536640 in words is "forty-five billion, six hundred sixty-nine million, five hundred thirty-six thousand, six hundred forty".