7986017318400 has 1440 divisors, whose sum is σ = 32666902684416. Its totient is φ = 1916006400000.

The previous prime is 7986017318381. The next prime is 7986017318407. The reversal of 7986017318400 is 48137106897.

7986017318400 is a `hidden beast` number, since 7 + 9 + 8 + 60 + 173 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7986017318407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3455653245 + ... + 3455655555.

Almost surely, 2^{7986017318400} 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 7986017318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333451342208).

7986017318400 is an abundant number, since it is smaller than the sum of its proper divisors (24680885366016).

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

7986017318400 is a wasteful number, since it uses less digits than its factorization.

7986017318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7986017318400 in words is "seven trillion, nine hundred eighty-six billion, seventeen million, three hundred eighteen thousand, four hundred".