7163486400 has 672 divisors, whose sum is σ = 28976320000. Its totient is φ = 1544417280.

The previous prime is 7163486389. The next prime is 7163486411. The reversal of 7163486400 is 46843617.

It is an interprime number because it is at equal distance from previous prime (7163486389) and next prime (7163486411).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31281486 + ... + 31281714.

Almost surely, 2^7163486400 is an apocalyptic number.

7163486400 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 7163486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488160000).

7163486400 is an abundant number, since it is smaller than the sum of its proper divisors (21812833600).

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

7163486400 is a wasteful number, since it uses less digits than its factorization.

7163486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 7163486400 is about 84637.3818120575. The cubic root of 7163486400 is about 1927.7090233098.

The spelling of 7163486400 in words is "seven billion, one hundred sixty-three million, four hundred eighty-six thousand, four hundred".