7478293680 has 960 divisors, whose sum is σ = 31917957120. Its totient is φ = 1596672000.

The previous prime is 7478293651. The next prime is 7478293699. The reversal of 7478293680 is 863928747.

7478293680 is a `hidden beast` number, since 7 + 478 + 2 + 93 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105328045 + ... + 105328115.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^7478293680 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 7478293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

7478293680 is an abundant number, since it is smaller than the sum of its proper divisors (24439663440).

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

7478293680 is a wasteful number, since it uses less digits than its factorization.

7478293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7478293680 is about 86477.1280744221. The cubic root of 7478293680 is about 1955.5436098807.

The spelling of 7478293680 in words is "seven billion, four hundred seventy-eight million, two hundred ninety-three thousand, six hundred eighty".