7967917440 has 768 divisors, whose sum is σ = 33256080000. Its totient is φ = 1755758592.

The previous prime is 7967917429. The next prime is 7967917453. The reversal of 7967917440 is 447197697.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73100106 + ... + 73100214.

Almost surely, 2^7967917440 is an apocalyptic number.

7967917440 is a gapful number since it is divisible by the number (70) 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 7967917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628040000).

7967917440 is an abundant number, since it is smaller than the sum of its proper divisors (25288162560).

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

7967917440 is a wasteful number, since it uses less digits than its factorization.

7967917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7967917440 is about 89263.1919662298. The cubic root of 7967917440 is about 1997.3228714235.

The spelling of 7967917440 in words is "seven billion, nine hundred sixty-seven million, nine hundred seventeen thousand, four hundred forty".