45783639720 has 768 divisors, whose sum is σ = 191616122880. Its totient is φ = 9573811200.

The previous prime is 45783639691. The next prime is 45783639721. The reversal of 45783639720 is 2793638754.

45783639720 is a `hidden beast` number, since 4 + 578 + 3 + 63 + 9 + 7 + 2 + 0 = 666.

45783639720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45783639720² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45783639721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168943185 + ... + 168943455.

It is an arithmetic number, because the mean of its divisors is an integer number (249500160).

Almost surely, 2^45783639720 is an apocalyptic number.

45783639720 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 45783639720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95808061440).

45783639720 is an abundant number, since it is smaller than the sum of its proper divisors (145832483160).

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

45783639720 is a wasteful number, since it uses less digits than its factorization.

45783639720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45783639720 in words is "forty-five billion, seven hundred eighty-three million, six hundred thirty-nine thousand, seven hundred twenty".