1640335704840 has 768 divisors, whose sum is σ = 6303791070720. Its totient is φ = 362213130240.

The previous prime is 1640335704829. The next prime is 1640335704841. The reversal of 1640335704840 is 484075330461.

1640335704840 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 33 + 570 + 4 + 8 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1640335704841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2872741755 + ... + 2872742325.

It is an arithmetic number, because the mean of its divisors is an integer number (8208061290).

Almost surely, 2^{1640335704840} is an apocalyptic number.

1640335704840 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 1640335704840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151895535360).

1640335704840 is an abundant number, since it is smaller than the sum of its proper divisors (4663455365880).

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

1640335704840 is a wasteful number, since it uses less digits than its factorization.

1640335704840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1640335704840 in words is "one trillion, six hundred forty billion, three hundred thirty-five million, seven hundred four thousand, eight hundred forty".