1616090762640 has 320 divisors, whose sum is σ = 5469770269440. Its totient is φ = 393303859200.

The previous prime is 1616090762599. The next prime is 1616090762647. The reversal of 1616090762640 is 462670906161.

It is a super-2 number, since 2×1616090762640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1616090762640.

It is not an unprimeable number, because it can be changed into a prime (1616090762647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16993302 + ... + 17088138.

It is an arithmetic number, because the mean of its divisors is an integer number (17093032092).

Almost surely, 2^{1616090762640} is an apocalyptic number.

1616090762640 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 1616090762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734885134720).

1616090762640 is an abundant number, since it is smaller than the sum of its proper divisors (3853679506800).

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

1616090762640 is a wasteful number, since it uses less digits than its factorization.

1616090762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95010 (or 95004 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1616090762640 in words is "one trillion, six hundred sixteen billion, ninety million, seven hundred sixty-two thousand, six hundred forty".