36057783960 has 512 divisors, whose sum is σ = 134835840000. Its totient is φ = 8497336320.

The previous prime is 36057783959. The next prime is 36057783961. The reversal of 36057783960 is 6938775063.

36057783960 is a `hidden beast` number, since 3 + 6 + 0 + 577 + 8 + 3 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (36057783959) and next prime (36057783961).

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

It is a junction number, because it is equal to n+sod(n) for n = 36057783897 and 36057783906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36057783961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70840186 + ... + 70840694.

It is an arithmetic number, because the mean of its divisors is an integer number (263351250).

Almost surely, 2^36057783960 is an apocalyptic number.

36057783960 is a gapful number since it is divisible by the number (30) 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 36057783960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417920000).

36057783960 is an abundant number, since it is smaller than the sum of its proper divisors (98778056040).

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

36057783960 is a wasteful number, since it uses less digits than its factorization.

36057783960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 36057783960 in words is "thirty-six billion, fifty-seven million, seven hundred eighty-three thousand, nine hundred sixty".