7291166400 has 1176 divisors, whose sum is σ = 33048122880. Its totient is φ = 1545246720.

The previous prime is 7291166371. The next prime is 7291166453. The reversal of 7291166400 is 46611927.

7291166400 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 1 + 6 + 640 + 0 = 666.

It is a super-2 number, since 2×7291166400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155131177 + ... + 155131223.

Almost surely, 2^7291166400 is an apocalyptic number.

7291166400 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 7291166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524061440).

7291166400 is an abundant number, since it is smaller than the sum of its proper divisors (25756956480).

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

7291166400 is a wasteful number, since it uses less digits than its factorization.

7291166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7291166400 is about 85388.3270710933. The cubic root of 7291166400 is about 1939.0946283790.

It can be divided in two parts, 729 and 1166400, that multiplied together give a square (850305600 = 29160²).

The spelling of 7291166400 in words is "seven billion, two hundred ninety-one million, one hundred sixty-six thousand, four hundred".