7947161040 has 480 divisors, whose sum is σ = 31134257280. Its totient is φ = 1662087168.

The previous prime is 7947161039. The next prime is 7947161087. The reversal of 7947161040 is 401617497.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7947161040.

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, 34703646 + ... + 34703874.

It is an arithmetic number, because the mean of its divisors is an integer number (64863036).

Almost surely, 2^7947161040 is an apocalyptic number.

7947161040 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 7947161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567128640).

7947161040 is an abundant number, since it is smaller than the sum of its proper divisors (23187096240).

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

7947161040 is a wasteful number, since it uses less digits than its factorization.

7947161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7947161040 is about 89146.8509819612. The cubic root of 7947161040 is about 1995.5870233134.

The spelling of 7947161040 in words is "seven billion, nine hundred forty-seven million, one hundred sixty-one thousand, forty".