8036748720 has 1440 divisors, whose sum is σ = 38900010240. Its totient is φ = 1515386880.

The previous prime is 8036748679. The next prime is 8036748721. The reversal of 8036748720 is 278476308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8036748721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136216051 + ... + 136216109.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 2^8036748720 is an apocalyptic number.

8036748720 is a gapful number since it is divisible by the number (80) 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 8036748720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

8036748720 is an abundant number, since it is smaller than the sum of its proper divisors (30863261520).

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

8036748720 is a wasteful number, since it uses less digits than its factorization.

8036748720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8036748720 is about 89647.9153131851. The cubic root of 8036748720 is about 2003.0577161370.

The spelling of 8036748720 in words is "eight billion, thirty-six million, seven hundred forty-eight thousand, seven hundred twenty".