7914947040 has 1728 divisors, whose sum is σ = 40551114240. Its totient is φ = 1353646080.

The previous prime is 7914946957. The next prime is 7914947069. The reversal of 7914947040 is 407494197.

7914947040 is a `hidden beast` number, since 7 + 91 + 494 + 70 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 416576151 + ... + 416576169.

It is an arithmetic number, because the mean of its divisors is an integer number (23467080).

Almost surely, 2^7914947040 is an apocalyptic number.

7914947040 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 7914947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275557120).

7914947040 is an abundant number, since it is smaller than the sum of its proper divisors (32636167200).

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

7914947040 is a wasteful number, since it uses less digits than its factorization.

7914947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7914947040 is about 88965.9881078157. The cubic root of 7914947040 is about 1992.8869858383.

The spelling of 7914947040 in words is "seven billion, nine hundred fourteen million, nine hundred forty-seven thousand, forty".