7941861849600 has 720 divisors, whose sum is σ = 32513261571648. Its totient is φ = 1813534801920.

The previous prime is 7941861849587. The next prime is 7941861849659. The reversal of 7941861849600 is 69481681497.

7941861849600 is a `hidden beast` number, since 7 + 9 + 4 + 1 + 8 + 6 + 18 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 957192652 + ... + 957200948.

Almost surely, 2^{7941861849600} is an apocalyptic number.

7941861849600 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 7941861849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256630785824).

7941861849600 is an abundant number, since it is smaller than the sum of its proper divisors (24571399722048).

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

7941861849600 is a wasteful number, since it uses less digits than its factorization.

7941861849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 7941861849600 in words is "seven trillion, nine hundred forty-one billion, eight hundred sixty-one million, eight hundred forty-nine thousand, six hundred".