196757364397440 has 3072 divisors, whose sum is σ = 895298697216000. Its totient is φ = 35767496540160.

The previous prime is 196757364397423. The next prime is 196757364397487. The reversal of 196757364397440 is 44793463757691.

196757364397440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20609334747 + ... + 20609344293.

It is an arithmetic number, because the mean of its divisors is an integer number (291438378000).

Almost surely, 2^{196757364397440} is an apocalyptic number.

196757364397440 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 196757364397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447649348608000).

196757364397440 is an abundant number, since it is smaller than the sum of its proper divisors (698541332818560).

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

196757364397440 is a wasteful number, since it uses less digits than its factorization.

196757364397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 75.

The spelling of 196757364397440 in words is "one hundred ninety-six trillion, seven hundred fifty-seven billion, three hundred sixty-four million, three hundred ninety-seven thousand, four hundred forty".