8403057936 has 400 divisors, whose sum is σ = 30648010624. Its totient is φ = 2163345408.

The previous prime is 8403057931. The next prime is 8403057937. The reversal of 8403057936 is 6397503048.

8403057936 is a `hidden beast` number, since 8 + 40 + 3 + 0 + 579 + 36 = 666.

It is a super-2 number, since 2×8403057936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8403057891 and 8403057900.

It is not an unprimeable number, because it can be changed into a prime (8403057931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5070420 + ... + 5072076.

Almost surely, 2^8403057936 is an apocalyptic number.

8403057936 is a gapful number since it is divisible by the number (86) 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 8403057936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324005312).

8403057936 is an abundant number, since it is smaller than the sum of its proper divisors (22244952688).

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

8403057936 is a wasteful number, since it uses less digits than its factorization.

8403057936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 8403057936 is about 91668.1947896870. The cubic root of 8403057936 is about 2033.0393563227.

It can be divided in two parts, 840305 and 7936, that added together give a square (848241 = 921²).

The spelling of 8403057936 in words is "eight billion, four hundred three million, fifty-seven thousand, nine hundred thirty-six".