196749007257600 has 3780 divisors, whose sum is σ = 889596958692288. Its totient is φ = 42807066624000.

The previous prime is 196749007257587. The next prime is 196749007257617. The reversal of 196749007257600 is 6752700947691.

196749007257600 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 490 + 0 + 72 + 5 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-2 number, since 2×196749007257600² (a number of 29 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 3225393561570 + ... + 3225393561630.

Almost surely, 2^{196749007257600} is an apocalyptic number.

196749007257600 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 196749007257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444798479346144).

196749007257600 is an abundant number, since it is smaller than the sum of its proper divisors (692847951434688).

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

196749007257600 is an frugal number, since it uses more digits than its factorization.

196749007257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 196749007257600 in words is "one hundred ninety-six trillion, seven hundred forty-nine billion, seven million, two hundred fifty-seven thousand, six hundred".