7967009040 has 80 divisors (see below), whose sum is σ = 25272126528. Its totient is φ = 2075125248.

The previous prime is 7967009033. The next prime is 7967009041. The reversal of 7967009040 is 409007697.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7967008983 and 7967009001.

It is not an unprimeable number, because it can be changed into a prime (7967009041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375679 + ... + 396318.

Almost surely, 2^7967009040 is an apocalyptic number.

It is an amenable number.

7967009040 is an abundant number, since it is smaller than the sum of its proper divisors (17305117488).

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

7967009040 is a wasteful number, since it uses less digits than its factorization.

7967009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772056 (or 772050 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7967009040 is about 89258.1034976657. The cubic root of 7967009040 is about 1997.2469654726.

The spelling of 7967009040 in words is "seven billion, nine hundred sixty-seven million, nine thousand, forty".