7955919360 has 640 divisors, whose sum is σ = 30169497600. Its totient is φ = 1984020480.

The previous prime is 7955919341. The next prime is 7955919371. The reversal of 7955919360 is 639195597.

7955919360 is a `hidden beast` number, since 79 + 559 + 19 + 3 + 6 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 7955919297 and 7955919306.

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, 100707801 + ... + 100707879.

It is an arithmetic number, because the mean of its divisors is an integer number (47139840).

Almost surely, 2^7955919360 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 7955919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084748800).

7955919360 is an abundant number, since it is smaller than the sum of its proper divisors (22213578240).

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

7955919360 is a wasteful number, since it uses less digits than its factorization.

7955919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The square root of 7955919360 is about 89195.9604466480. The cubic root of 7955919360 is about 1996.3198457191.

The spelling of 7955919360 in words is "seven billion, nine hundred fifty-five million, nine hundred nineteen thousand, three hundred sixty".