7997783270400 has 3168 divisors, whose sum is σ = 38890510848000. Its totient is φ = 1572220108800.

The previous prime is 7997783270371. The next prime is 7997783270437. The reversal of 7997783270400 is 40723877997.

7997783270400 is a `hidden beast` number, since 7 + 9 + 97 + 78 + 3 + 2 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11123481241 + ... + 11123481959.

Almost surely, 2^{7997783270400} is an apocalyptic number.

7997783270400 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 7997783270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445255424000).

7997783270400 is an abundant number, since it is smaller than the sum of its proper divisors (30892727577600).

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

7997783270400 is a wasteful number, since it uses less digits than its factorization.

7997783270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 7997783270400 in words is "seven trillion, nine hundred ninety-seven billion, seven hundred eighty-three million, two hundred seventy thousand, four hundred".