6160782291840 has 1280 divisors, whose sum is σ = 24952561920000. Its totient is φ = 1435030732800.

The previous prime is 6160782291787. The next prime is 6160782291919. The reversal of 6160782291840 is 481922870616.

It is a happy number.

6160782291840 is a `hidden beast` number, since 6 + 1 + 607 + 8 + 2 + 29 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2633937391 + ... + 2633939729.

It is an arithmetic number, because the mean of its divisors is an integer number (19494189000).

Almost surely, 2^{6160782291840} is an apocalyptic number.

6160782291840 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 6160782291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476280960000).

6160782291840 is an abundant number, since it is smaller than the sum of its proper divisors (18791779628160).

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

6160782291840 is a wasteful number, since it uses less digits than its factorization.

6160782291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 6160782291840 in words is "six trillion, one hundred sixty billion, seven hundred eighty-two million, two hundred ninety-one thousand, eight hundred forty".