8045957556 has 384 divisors, whose sum is σ = 26713702400. Its totient is φ = 2037934080.

The previous prime is 8045957551. The next prime is 8045957567. The reversal of 8045957556 is 6557595408.

8045957556 is a `hidden beast` number, since 80 + 4 + 5 + 9 + 5 + 7 + 556 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045957551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33385596 + ... + 33385836.

Almost surely, 2^8045957556 is an apocalyptic number.

8045957556 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 8045957556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356851200).

8045957556 is an abundant number, since it is smaller than the sum of its proper divisors (18667744844).

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

8045957556 is a wasteful number, since it uses less digits than its factorization.

8045957556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 8045957556 is about 89699.2617360923. The cubic root of 8045957556 is about 2003.8224859795.

The spelling of 8045957556 in words is "eight billion, forty-five million, nine hundred fifty-seven thousand, five hundred fifty-six".