7641991997136 has 240 divisors, whose sum is σ = 25894690383744. Its totient is φ = 2053824823296.

The previous prime is 7641991997131. The next prime is 7641991997161. The reversal of 7641991997136 is 6317991991467.

7641991997136 is a `hidden beast` number, since 7 + 6 + 419 + 9 + 199 + 7 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641991997131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30325191 + ... + 30576153.

Almost surely, 2^{7641991997136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7641991997136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947345191872).

7641991997136 is an abundant number, since it is smaller than the sum of its proper divisors (18252698386608).

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

7641991997136 is a wasteful number, since it uses less digits than its factorization.

7641991997136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252778 (or 252769 counting only the distinct ones).

The product of its digits is 138883248, while the sum is 72.

The spelling of 7641991997136 in words is "seven trillion, six hundred forty-one billion, nine hundred ninety-one million, nine hundred ninety-seven thousand, one hundred thirty-six".