7896008198400 has 216 divisors, whose sum is σ = 29781111428544. Its totient is φ = 1804801843200.

The previous prime is 7896008198341. The next prime is 7896008198401. The reversal of 7896008198400 is 48918006987.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7896008198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29240631 + ... + 29509430.

Almost surely, 2^{7896008198400} is an apocalyptic number.

7896008198400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7896008198400 is an abundant number, since it is smaller than the sum of its proper divisors (21885103230144).

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

7896008198400 is a wasteful number, since it uses less digits than its factorization.

7896008198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58750097 (or 58750078 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 7896008198400 in words is "seven trillion, eight hundred ninety-six billion, eight million, one hundred ninety-eight thousand, four hundred".