1640957472 has 486 divisors, whose sum is σ = 6165377127. Its totient is φ = 412473600.

The previous prime is 1640957459. The next prime is 1640957491. The reversal of 1640957472 is 2747590461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1640957472 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 574 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 820478736 = 28644^2 + 28644^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28644.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52934097 + ... + 52934127.

Almost surely, 2^1640957472 is an apocalyptic number.

1640957472 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 1640957472

1640957472 is an abundant number, since it is smaller than the sum of its proper divisors (4524419655).

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

1640957472 is a wasteful number, since it uses less digits than its factorization.

1640957472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1640957472 is about 40508.7332806149. The cubic root of 1640957472 is about 1179.5031595979.

The spelling of 1640957472 in words is "one billion, six hundred forty million, nine hundred fifty-seven thousand, four hundred seventy-two".