45779779584 has 630 divisors, whose sum is σ = 173568605364. Its totient is φ = 11890851840.

The previous prime is 45779779583. The next prime is 45779779601. The reversal of 45779779584 is 48597797754.

45779779584 is a `hidden beast` number, since 457 + 7 + 9 + 7 + 7 + 95 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45779779583) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4161798139 + ... + 4161798149.

Almost surely, 2^45779779584 is an apocalyptic number.

45779779584 is a gapful number since it is divisible by the number (44) 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 45779779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86784302682).

45779779584 is an abundant number, since it is smaller than the sum of its proper divisors (127788825780).

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

45779779584 is an frugal number, since it uses more digits than its factorization.

45779779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 45779779584 in words is "forty-five billion, seven hundred seventy-nine million, seven hundred seventy-nine thousand, five hundred eighty-four".