1640096640 has 768 divisors, whose sum is σ = 7325640000. Its totient is φ = 343719936.

The previous prime is 1640096639. The next prime is 1640096651. The reversal of 1640096640 is 466900461.

1640096640 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 9 + 6 + 640 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1640096595 and 1640096604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007286 + ... + 11007434.

Almost surely, 2^1640096640 is an apocalyptic number.

1640096640 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 1640096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662820000).

1640096640 is an abundant number, since it is smaller than the sum of its proper divisors (5685543360).

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

1640096640 is a wasteful number, since it uses less digits than its factorization.

1640096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1640096640 is about 40498.1066224089. The cubic root of 1640096640 is about 1179.2968711593.

The spelling of 1640096640 in words is "one billion, six hundred forty million, ninety-six thousand, six hundred forty".