4497596640 has 288 divisors, whose sum is σ = 16112416320. Its totient is φ = 1140277248.

The previous prime is 4497596633. The next prime is 4497596641. The reversal of 4497596640 is 466957944.

It is a happy number.

4497596640 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 596 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4497596640² = 40456751072278579200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4497596641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7584184 + ... + 7584776.

It is an arithmetic number, because the mean of its divisors is an integer number (55945890).

Almost surely, 2^4497596640 is an apocalyptic number.

4497596640 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 4497596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056208160).

4497596640 is an abundant number, since it is smaller than the sum of its proper divisors (11614819680).

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

4497596640 is a wasteful number, since it uses less digits than its factorization.

4497596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4497596640 is about 67064.1233447512. The cubic root of 4497596640 is about 1650.6696565561.

The spelling of 4497596640 in words is "four billion, four hundred ninety-seven million, five hundred ninety-six thousand, six hundred forty".