613642962240 has 1512 divisors, whose sum is σ = 2800832108256. Its totient is φ = 127510225920.

The previous prime is 613642962221. The next prime is 613642962271. The reversal of 613642962240 is 42269246316.

613642962240 is a `hidden beast` number, since 6 + 13 + 6 + 4 + 2 + 9 + 622 + 4 + 0 = 666.

613642962240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55785723835 + ... + 55785723845.

It is an arithmetic number, because the mean of its divisors is an integer number (1852402188).

Almost surely, 2^613642962240 is an apocalyptic number.

613642962240 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 613642962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400416054128).

613642962240 is an abundant number, since it is smaller than the sum of its proper divisors (2187189146016).

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

613642962240 is an frugal number, since it uses more digits than its factorization.

613642962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 613642962240 in words is "six hundred thirteen billion, six hundred forty-two million, nine hundred sixty-two thousand, two hundred forty".