7861896806400 has 3672 divisors, whose sum is σ = 37767875867904. Its totient is φ = 1605264998400.

The previous prime is 7861896806389. The next prime is 7861896806437. The reversal of 7861896806400 is 46086981687.

7861896806400 is a `hidden beast` number, since 7 + 8 + 61 + 8 + 96 + 80 + 6 + 400 = 666.

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 215 ways as a sum of consecutive naturals, for example, 253609574385 + ... + 253609574415.

Almost surely, 2^{7861896806400} is an apocalyptic number.

7861896806400 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 7861896806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883937933952).

7861896806400 is an abundant number, since it is smaller than the sum of its proper divisors (29905979061504).

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

7861896806400 is an equidigital number, since it uses as much as digits as its factorization.

7861896806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 7861896806400 in words is "seven trillion, eight hundred sixty-one billion, eight hundred ninety-six million, eight hundred six thousand, four hundred".