7166426400 has 1080 divisors, whose sum is σ = 31734945396. Its totient is φ = 1567641600.

The previous prime is 7166426359. The next prime is 7166426419. The reversal of 7166426400 is 46246617.

7166426400 is a `hidden beast` number, since 7 + 1 + 6 + 6 + 4 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2080454544 + 5085971856 = 45612^2 + 71316^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 117482370 + ... + 117482430.

Almost surely, 2^7166426400 is an apocalyptic number.

7166426400 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 7166426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867472698).

7166426400 is an abundant number, since it is smaller than the sum of its proper divisors (24568518996).

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

7166426400 is a wasteful number, since it uses less digits than its factorization.

7166426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7166426400 is about 84654.7482424938. The cubic root of 7166426400 is about 1927.9727072690.

The spelling of 7166426400 in words is "seven billion, one hundred sixty-six million, four hundred twenty-six thousand, four hundred".