7947233280 has 576 divisors, whose sum is σ = 32053432320. Its totient is φ = 1783627776.

The previous prime is 7947233279. The next prime is 7947233291. The reversal of 7947233280 is 823327497.

7947233280 is a `hidden beast` number, since 79 + 472 + 3 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62576577 + ... + 62576703.

It is an arithmetic number, because the mean of its divisors is an integer number (55648320).

Almost surely, 2^7947233280 is an apocalyptic number.

7947233280 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 7947233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026716160).

7947233280 is an abundant number, since it is smaller than the sum of its proper divisors (24106199040).

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

7947233280 is a wasteful number, since it uses less digits than its factorization.

7947233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7947233280 is about 89147.2561551953. The cubic root of 7947233280 is about 1995.5930699494.

The spelling of 7947233280 in words is "seven billion, nine hundred forty-seven million, two hundred thirty-three thousand, two hundred eighty".