7166956800 has 216 divisors, whose sum is σ = 24102144864. Its totient is φ = 1874862080.

The previous prime is 7166956793. The next prime is 7166956801. The reversal of 7166956800 is 86596617.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7166956800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7166956801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014079 + ... + 1021121.

It is an arithmetic number, because the mean of its divisors is an integer number (111584004).

Almost surely, 2^7166956800 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 7166956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051072432).

7166956800 is an abundant number, since it is smaller than the sum of its proper divisors (16935188064).

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

7166956800 is a wasteful number, since it uses less digits than its factorization.

7166956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7166956800 is about 84657.8809089857. The cubic root of 7166956800 is about 1928.0202703286.

It can be divided in two parts, 7166 and 956800, that added together give a triangular number (963966 = T₁₃₈₈).

The spelling of 7166956800 in words is "seven billion, one hundred sixty-six million, nine hundred fifty-six thousand, eight hundred".