7948196020800 has 2352 divisors, whose sum is σ = 35796074297472. Its totient is φ = 1694844518400.

The previous prime is 7948196020799. The next prime is 7948196020801. The reversal of 7948196020800 is 80206918497.

7948196020800 is a `hidden beast` number, since 7 + 9 + 481 + 9 + 60 + 20 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7948196020799) and next prime (7948196020801).

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

It is not an unprimeable number, because it can be changed into a prime (7948196020801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 24012676635 + ... + 24012676965.

Almost surely, 2^{7948196020800} is an apocalyptic number.

7948196020800 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 7948196020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17898037148736).

7948196020800 is an abundant number, since it is smaller than the sum of its proper divisors (27847878276672).

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

7948196020800 is a wasteful number, since it uses less digits than its factorization.

7948196020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 7948196020800 in words is "seven trillion, nine hundred forty-eight billion, one hundred ninety-six million, twenty thousand, eight hundred".