7974878822400 has 720 divisors, whose sum is σ = 30632583833600. Its totient is φ = 1792829030400.

The previous prime is 7974878822377. The next prime is 7974878822429. The reversal of 7974878822400 is 42288784797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524690001 + ... + 524705199.

Almost surely, 2^{7974878822400} is an apocalyptic number.

7974878822400 is a gapful number since it is divisible by the number (70) 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 7974878822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316291916800).

7974878822400 is an abundant number, since it is smaller than the sum of its proper divisors (22657705011200).

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

7974878822400 is a wasteful number, since it uses less digits than its factorization.

7974878822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15277 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 66.

The spelling of 7974878822400 in words is "seven trillion, nine hundred seventy-four billion, eight hundred seventy-eight million, eight hundred twenty-two thousand, four hundred".