8007490960 has 320 divisors, whose sum is σ = 23833903104. Its totient is φ = 2438553600.

The previous prime is 8007490949. The next prime is 8007490969. The reversal of 8007490960 is 690947008.

It is a super-2 number, since 2×8007490960² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (8007490969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12689845 + ... + 12690475.

Almost surely, 2^8007490960 is an apocalyptic number.

8007490960 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 8007490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916951552).

8007490960 is an abundant number, since it is smaller than the sum of its proper divisors (15826412144).

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

8007490960 is a wasteful number, since it uses less digits than its factorization.

8007490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 8007490960 is about 89484.5850412237. The cubic root of 8007490960 is about 2000.6240519260.

The spelling of 8007490960 in words is "eight billion, seven million, four hundred ninety thousand, nine hundred sixty".