94965998400 has 2688 divisors, whose sum is σ = 476219520000. Its totient is φ = 18207866880.

The previous prime is 94965998399. The next prime is 94965998401. The reversal of 94965998400 is 489956949.

94965998400 is a `hidden beast` number, since 9 + 4 + 96 + 59 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (94965998399) and next prime (94965998401).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94965998401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3274689586 + ... + 3274689614.

It is an arithmetic number, because the mean of its divisors is an integer number (177165000).

Almost surely, 2^94965998400 is an apocalyptic number.

94965998400 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 94965998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760000).

94965998400 is an abundant number, since it is smaller than the sum of its proper divisors (381253521600).

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

94965998400 is a wasteful number, since it uses less digits than its factorization.

94965998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 94965998400 in words is "ninety-four billion, nine hundred sixty-five million, nine hundred ninety-eight thousand, four hundred".