8736404040 has 1152 divisors, whose sum is σ = 39527429760. Its totient is φ = 1713954816.

The previous prime is 8736404029. The next prime is 8736404063. The reversal of 8736404040 is 404046378.

8736404040 is a `hidden beast` number, since 8 + 7 + 3 + 640 + 4 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8736403986 and 8736404004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105257839 + ... + 105257921.

It is an arithmetic number, because the mean of its divisors is an integer number (34312005).

Almost surely, 2^8736404040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8736404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

8736404040 is an abundant number, since it is smaller than the sum of its proper divisors (30791025720).

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

8736404040 is a wasteful number, since it uses less digits than its factorization.

8736404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 8736404040 is about 93468.7329538600. The cubic root of 8736404040 is about 2059.5748046303.

The spelling of 8736404040 in words is "eight billion, seven hundred thirty-six million, four hundred four thousand, forty".