7874846400 has 336 divisors, whose sum is σ = 27565299200. Its totient is φ = 1962455040.

The previous prime is 7874846347. The next prime is 7874846401. The reversal of 7874846400 is 46484787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7874846400.

It is not an unprimeable number, because it can be changed into a prime (7874846401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204254 + ... + 7205346.

Almost surely, 2^7874846400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782649600).

7874846400 is an abundant number, since it is smaller than the sum of its proper divisors (19690452800).

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

7874846400 is a wasteful number, since it uses less digits than its factorization.

7874846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 7874846400 is about 88740.3313043173. The cubic root of 7874846400 is about 1989.5156687702.

The spelling of 7874846400 in words is "seven billion, eight hundred seventy-four million, eight hundred forty-six thousand, four hundred".