1640734986240 has 2496 divisors, whose sum is σ = 7536747479040. Its totient is φ = 321052999680.

The previous prime is 1640734986211. The next prime is 1640734986263. The reversal of 1640734986240 is 426894370461.

1640734986240 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 7 + 3 + 4 + 9 + 8 + 624 + 0 = 666.

It is a super-2 number, since 2×1640734986240² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12919173057 + ... + 12919173183.

It is an arithmetic number, because the mean of its divisors is an integer number (3019530240).

Almost surely, 2^{1640734986240} is an apocalyptic number.

1640734986240 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 1640734986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768373739520).

1640734986240 is an abundant number, since it is smaller than the sum of its proper divisors (5896012492800).

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

1640734986240 is a wasteful number, since it uses less digits than its factorization.

1640734986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1640734986240 in words is "one trillion, six hundred forty billion, seven hundred thirty-four million, nine hundred eighty-six thousand, two hundred forty".