45770784768 has 540 divisors, whose sum is σ = 152276113080. Its totient is φ = 13164871680.

The previous prime is 45770784743. The next prime is 45770784797. The reversal of 45770784768 is 86748707754.

45770784768 is a `hidden beast` number, since 457 + 70 + 78 + 47 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1476476913 + ... + 1476476943.

It is an arithmetic number, because the mean of its divisors is an integer number (281992802).

Almost surely, 2^45770784768 is an apocalyptic number.

45770784768 is a gapful number since it is divisible by the number (48) 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 45770784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76138056540).

45770784768 is an abundant number, since it is smaller than the sum of its proper divisors (106505328312).

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

45770784768 is a wasteful number, since it uses less digits than its factorization.

45770784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 45770784768 in words is "forty-five billion, seven hundred seventy million, seven hundred eighty-four thousand, seven hundred sixty-eight".