7946104320 has 640 divisors, whose sum is σ = 35213460480. Its totient is φ = 1650032640.

The previous prime is 7946104279. The next prime is 7946104333. The reversal of 7946104320 is 234016497.

7946104320 is a `hidden beast` number, since 7 + 9 + 4 + 610 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321494 + ... + 5322986.

It is an arithmetic number, because the mean of its divisors is an integer number (55021032).

Almost surely, 2^7946104320 is an apocalyptic number.

7946104320 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 7946104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606730240).

7946104320 is an abundant number, since it is smaller than the sum of its proper divisors (27267356160).

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

7946104320 is a wasteful number, since it uses less digits than its factorization.

7946104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7946104320 is about 89140.9239350816. The cubic root of 7946104320 is about 1995.4985694960.

The spelling of 7946104320 in words is "seven billion, nine hundred forty-six million, one hundred four thousand, three hundred twenty".