4664096640 has 320 divisors, whose sum is σ = 19037288160. Its totient is φ = 1065996288.

The previous prime is 4664096617. The next prime is 4664096641. The reversal of 4664096640 is 466904664.

4664096640 is a `hidden beast` number, since 466 + 40 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664096641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 356454 + ... + 369306.

Almost surely, 2^4664096640 is an apocalyptic number.

4664096640 is a gapful number since it is divisible by the number (40) 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 4664096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518644080).

4664096640 is an abundant number, since it is smaller than the sum of its proper divisors (14373191520).

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

4664096640 is a wasteful number, since it uses less digits than its factorization.

4664096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4664096640 is about 68294.1918467449. The cubic root of 4664096640 is about 1670.7924860520.

The spelling of 4664096640 in words is "four billion, six hundred sixty-four million, ninety-six thousand, six hundred forty".