7994488320 has 1280 divisors, whose sum is σ = 36957634560. Its totient is φ = 1592524800.

The previous prime is 7994488309. The next prime is 7994488339. The reversal of 7994488320 is 238844997.

7994488320 is a `hidden beast` number, since 79 + 94 + 488 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194987500 + ... + 194987540.

It is an arithmetic number, because the mean of its divisors is an integer number (28873152).

Almost surely, 2^7994488320 is an apocalyptic number.

7994488320 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 7994488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478817280).

7994488320 is an abundant number, since it is smaller than the sum of its proper divisors (28963146240).

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

7994488320 is a wasteful number, since it uses less digits than its factorization.

7994488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7994488320 is about 89411.9025633612. The cubic root of 7994488320 is about 1999.5405878116.

The spelling of 7994488320 in words is "seven billion, nine hundred ninety-four million, four hundred eighty-eight thousand, three hundred twenty".