1613954805840 has 640 divisors, whose sum is σ = 6256849536000. Its totient is φ = 379415494656.

The previous prime is 1613954805811. The next prime is 1613954805893. The reversal of 1613954805840 is 485084593161.

It is a happy number.

1613954805840 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 9 + 54 + 8 + 0 + 584 + 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 127 ways as a sum of consecutive naturals, for example, 522483016 + ... + 522486104.

It is an arithmetic number, because the mean of its divisors is an integer number (9776327400).

Almost surely, 2^{1613954805840} is an apocalyptic number.

1613954805840 is a gapful number since it is divisible by the number (10) 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 1613954805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128424768000).

1613954805840 is an abundant number, since it is smaller than the sum of its proper divisors (4642894730160).

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

1613954805840 is a wasteful number, since it uses less digits than its factorization.

1613954805840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1613954805840 in words is "one trillion, six hundred thirteen billion, nine hundred fifty-four million, eight hundred five thousand, eight hundred forty".