84849962400 has 864 divisors, whose sum is σ = 370164307968. Its totient is φ = 18544204800.

The previous prime is 84849962387. The next prime is 84849962413. The reversal of 84849962400 is 426994848.

84849962400 is a `hidden beast` number, since 8 + 4 + 8 + 4 + 9 + 9 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84849962387) and next prime (84849962413).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×84849962400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31297045 + ... + 31299755.

It is an arithmetic number, because the mean of its divisors is an integer number (428430912).

Almost surely, 2^84849962400 is an apocalyptic number.

84849962400 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 84849962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185082153984).

84849962400 is an abundant number, since it is smaller than the sum of its proper divisors (285314345568).

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

84849962400 is a wasteful number, since it uses less digits than its factorization.

84849962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 84849962400 in words is "eighty-four billion, eight hundred forty-nine million, nine hundred sixty-two thousand, four hundred".