7447916160 has 384 divisors, whose sum is σ = 27083496960. Its totient is φ = 1883381760.

The previous prime is 7447916159. The next prime is 7447916167. The reversal of 7447916160 is 616197447.

7447916160 is a `hidden beast` number, since 7 + 4 + 479 + 16 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (7447916167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9463287 + ... + 9464073.

It is an arithmetic number, because the mean of its divisors is an integer number (70529940).

Almost surely, 2^7447916160 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 7447916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13541748480).

7447916160 is an abundant number, since it is smaller than the sum of its proper divisors (19635580800).

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

7447916160 is a wasteful number, since it uses less digits than its factorization.

7447916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7447916160 is about 86301.3103029149. The cubic root of 7447916160 is about 1952.8921501900.

The spelling of 7447916160 in words is "seven billion, four hundred forty-seven million, nine hundred sixteen thousand, one hundred sixty".