196282880640 has 1536 divisors, whose sum is σ = 902050007040. Its totient is φ = 39594147840.

The previous prime is 196282880639. The next prime is 196282880669. The reversal of 196282880640 is 46088282691.

196282880640 is a `hidden beast` number, since 1 + 9 + 628 + 2 + 8 + 8 + 0 + 6 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 443076259 + ... + 443076701.

It is an arithmetic number, because the mean of its divisors is an integer number (587272140).

Almost surely, 2^196282880640 is an apocalyptic number.

196282880640 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 196282880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451025003520).

196282880640 is an abundant number, since it is smaller than the sum of its proper divisors (705767126400).

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

196282880640 is a wasteful number, since it uses less digits than its factorization.

196282880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 196282880640 in words is "one hundred ninety-six billion, two hundred eighty-two million, eight hundred eighty thousand, six hundred forty".