6440601600 has 360 divisors, whose sum is σ = 23869976130. Its totient is φ = 1716387840.

The previous prime is 6440601599. The next prime is 6440601683. The reversal of 6440601600 is 61060446.

6440601600 is a `hidden beast` number, since 6 + 440 + 60 + 160 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3351020544 + 3089581056 = 57888^2 + 55584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146424 + ... + 4147976.

Almost surely, 2^6440601600 is an apocalyptic number.

6440601600 is a gapful number since it is divisible by the number (60) 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 6440601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934988065).

6440601600 is an abundant number, since it is smaller than the sum of its proper divisors (17429374530).

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

6440601600 is a wasteful number, since it uses less digits than its factorization.

6440601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6440601600 is about 80253.3588082144. The cubic root of 6440601600 is about 1860.5534253276.

The spelling of 6440601600 in words is "six billion, four hundred forty million, six hundred one thousand, six hundred".