1640830464 has 540 divisors, whose sum is σ = 6103762236. Its totient is φ = 422682624.

The previous prime is 1640830441. The next prime is 1640830487. The reversal of 1640830464 is 4640380461.

1640830464 is a `hidden beast` number, since 1 + 640 + 8 + 3 + 0 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1640830441) and next prime (1640830487).

It is a super-2 number, since 2×1640830464² = 5384649223180910592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38158827 + ... + 38158869.

Almost surely, 2^1640830464 is an apocalyptic number.

1640830464 is a gapful number since it is divisible by the number (14) 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 1640830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051881118).

1640830464 is an abundant number, since it is smaller than the sum of its proper divisors (4462931772).

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

1640830464 is a wasteful number, since it uses less digits than its factorization.

1640830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1640830464 is about 40507.1655883252. The cubic root of 1640830464 is about 1179.4727281364.

The spelling of 1640830464 in words is "one billion, six hundred forty million, eight hundred thirty thousand, four hundred sixty-four".