196757406720 has 1056 divisors, whose sum is σ = 840536847360. Its totient is φ = 43475927040.

The previous prime is 196757406719. The next prime is 196757406739. The reversal of 196757406720 is 27604757691.

196757406720 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 574 + 0 + 67 + 2 + 0 = 666.

It is a super-5 number, since 5×196757406720⁵ (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209986092 + ... + 209987028.

Almost surely, 2^196757406720 is an apocalyptic number.

196757406720 is a gapful number since it is divisible by the number (10) 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 196757406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420268423680).

196757406720 is an abundant number, since it is smaller than the sum of its proper divisors (643779440640).

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

196757406720 is a wasteful number, since it uses less digits than its factorization.

196757406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 196757406720 in words is "one hundred ninety-six billion, seven hundred fifty-seven million, four hundred six thousand, seven hundred twenty".