8948966400 has 792 divisors, whose sum is σ = 36459853920. Its totient is φ = 2149171200.

The previous prime is 8948966321. The next prime is 8948966437. The reversal of 8948966400 is 46698498.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83635147 + ... + 83635253.

Almost surely, 2^8948966400 is an apocalyptic number.

8948966400 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 8948966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229926960).

8948966400 is an abundant number, since it is smaller than the sum of its proper divisors (27510887520).

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

8948966400 is a wasteful number, since it uses less digits than its factorization.

8948966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8948966400 is about 94598.9767386519. The cubic root of 8948966400 is about 2076.1447324668.

The spelling of 8948966400 in words is "eight billion, nine hundred forty-eight million, nine hundred sixty-six thousand, four hundred".