1640466432 has 480 divisors, whose sum is σ = 5708102400. Its totient is φ = 464486400.

The previous prime is 1640466419. The next prime is 1640466433. The reversal of 1640466432 is 2346640461.

1640466432 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 4 + 6 + 643 + 2 = 666.

It is a super-2 number, since 2×1640466432² = 5382260229037621248, 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 not an unprimeable number, because it can be changed into a prime (1640466433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52918257 + ... + 52918287.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^1640466432 is an apocalyptic number.

1640466432 is a gapful number since it is divisible by the number (12) 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 1640466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

1640466432 is an abundant number, since it is smaller than the sum of its proper divisors (4067635968).

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

1640466432 is a wasteful number, since it uses less digits than its factorization.

1640466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1640466432 is about 40502.6719118628. The cubic root of 1640466432 is about 1179.3854963794.

The spelling of 1640466432 in words is "one billion, six hundred forty million, four hundred sixty-six thousand, four hundred thirty-two".