761998196232 has 256 divisors, whose sum is σ = 2618774323200. Its totient is φ = 199913391360.

The previous prime is 761998196207. The next prime is 761998196273. The reversal of 761998196232 is 232691899167.

761998196232 is a `hidden beast` number, since 7 + 619 + 9 + 8 + 1 + 9 + 6 + 2 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 761998196232.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3652813 + ... + 3855779.

It is an arithmetic number, because the mean of its divisors is an integer number (10229587200).

Almost surely, 2^761998196232 is an apocalyptic number.

761998196232 is a gapful number since it is divisible by the number (72) 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 761998196232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309387161600).

761998196232 is an abundant number, since it is smaller than the sum of its proper divisors (1856776126968).

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

761998196232 is a wasteful number, since it uses less digits than its factorization.

761998196232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203193 (or 203183 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 761998196232 in words is "seven hundred sixty-one billion, nine hundred ninety-eight million, one hundred ninety-six thousand, two hundred thirty-two".