7814293872 has 160 divisors (see below), whose sum is σ = 25266954240. Its totient is φ = 2021717760.

The previous prime is 7814293849. The next prime is 7814293901. The reversal of 7814293872 is 2783924187.

It is a super-2 number, since 2×7814293872² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968029 + ... + 976067.

It is an arithmetic number, because the mean of its divisors is an integer number (157918464).

Almost surely, 2^7814293872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7814293872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633477120).

7814293872 is an abundant number, since it is smaller than the sum of its proper divisors (17452660368).

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

7814293872 is a wasteful number, since it uses less digits than its factorization.

7814293872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8325 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 7814293872 is about 88398.4947383155. The cubic root of 7814293872 is about 1984.4031750337.

The spelling of 7814293872 in words is "seven billion, eight hundred fourteen million, two hundred ninety-three thousand, eight hundred seventy-two".