8966126400 has 672 divisors, whose sum is σ = 38859512832. Its totient is φ = 1752268800.

The previous prime is 8966126371. The next prime is 8966126443. The reversal of 8966126400 is 46216698.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6282487 + ... + 6283913.

It is an arithmetic number, because the mean of its divisors is an integer number (57826656).

Almost surely, 2^8966126400 is an apocalyptic number.

8966126400 is a gapful number since it is divisible by the number (80) 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 8966126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429756416).

8966126400 is an abundant number, since it is smaller than the sum of its proper divisors (29893386432).

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

8966126400 is a wasteful number, since it uses less digits than its factorization.

8966126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 8966126400 is about 94689.6319561968. The cubic root of 8966126400 is about 2077.4709152686.

The spelling of 8966126400 in words is "eight billion, nine hundred sixty-six million, one hundred twenty-six thousand, four hundred".