6455607690240 has 704 divisors, whose sum is σ = 23715146764800. Its totient is φ = 1664092864512.

The previous prime is 6455607690187. The next prime is 6455607690271. The reversal of 6455607690240 is 420967065546.

6455607690240 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 607 + 6 + 9 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 803032141 + ... + 803040179.

Almost surely, 2^{6455607690240} is an apocalyptic number.

6455607690240 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 6455607690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857573382400).

6455607690240 is an abundant number, since it is smaller than the sum of its proper divisors (17259539074560).

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

6455607690240 is a wasteful number, since it uses less digits than its factorization.

6455607690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6455607690240 in words is "six trillion, four hundred fifty-five billion, six hundred seven million, six hundred ninety thousand, two hundred forty".