9954878400 has 672 divisors, whose sum is σ = 38913937920. Its totient is φ = 2469519360.

The previous prime is 9954878393. The next prime is 9954878407. The reversal of 9954878400 is 48784599.

9954878400 is a `hidden beast` number, since 99 + 548 + 7 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9954878393) and next prime (9954878407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954878407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42724684 + ... + 42724916.

Almost surely, 2^9954878400 is an apocalyptic number.

9954878400 is a gapful number since it is divisible by the number (90) 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 9954878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456968960).

9954878400 is an abundant number, since it is smaller than the sum of its proper divisors (28959059520).

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

9954878400 is a wasteful number, since it uses less digits than its factorization.

9954878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9954878400 is about 99774.1369293666. The cubic root of 9954878400 is about 2151.1894193894.

The spelling of 9954878400 in words is "nine billion, nine hundred fifty-four million, eight hundred seventy-eight thousand, four hundred".