7004168160 has 384 divisors, whose sum is σ = 25147584000. Its totient is φ = 1623121920.

The previous prime is 7004168153. The next prime is 7004168231. The reversal of 7004168160 is 618614007.

It is a happy number.

It is a super-2 number, since 2×7004168160² = 98116743227115571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 22814727 + ... + 22815033.

It is an arithmetic number, because the mean of its divisors is an integer number (65488500).

Almost surely, 2^7004168160 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 7004168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792000).

7004168160 is an abundant number, since it is smaller than the sum of its proper divisors (18143415840).

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

7004168160 is a wasteful number, since it uses less digits than its factorization.

7004168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7004168160 is about 83690.9084668102. The cubic root of 7004168160 is about 1913.3107933043.

The spelling of 7004168160 in words is "seven billion, four million, one hundred sixty-eight thousand, one hundred sixty".