613769282640 has 240 divisors, whose sum is σ = 2082466713600. Its totient is φ = 161989383168.

The previous prime is 613769282591. The next prime is 613769282641. The reversal of 613769282640 is 46282967316.

613769282640 is a `hidden beast` number, since 6 + 1 + 376 + 9 + 2 + 8 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613769282641) 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, 98531046 + ... + 98537274.

It is an arithmetic number, because the mean of its divisors is an integer number (8676944640).

Almost surely, 2^613769282640 is an apocalyptic number.

613769282640 is a gapful number since it is divisible by the number (60) 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 613769282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041233356800).

613769282640 is an abundant number, since it is smaller than the sum of its proper divisors (1468697430960).

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

613769282640 is a wasteful number, since it uses less digits than its factorization.

613769282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 613769282640 in words is "six hundred thirteen billion, seven hundred sixty-nine million, two hundred eighty-two thousand, six hundred forty".