6642606240 has 72 divisors (see below), whose sum is σ = 22667898708. Its totient is φ = 1771361280.

The previous prime is 6642606233. The next prime is 6642606247. The reversal of 6642606240 is 426062466.

6642606240 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 606 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6642606233) and next prime (6642606247).

It can be written as a sum of positive squares in 2 ways, for example, as 6232786704 + 409819536 = 78948^2 + 20244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6642606195 and 6642606204.

It is not an unprimeable number, because it can be changed into a prime (6642606247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2305021 + ... + 2307900.

Almost surely, 2^6642606240 is an apocalyptic number.

6642606240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6642606240 is an abundant number, since it is smaller than the sum of its proper divisors (16025292468).

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

6642606240 is a wasteful number, since it uses less digits than its factorization.

6642606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612942 (or 4612931 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6642606240 is about 81502.1854921695. The cubic root of 6642606240 is about 1879.8051556029.

It can be divided in two parts, 6 and 642606240, that added together give a palindrome (642606246).

The spelling of 6642606240 in words is "six billion, six hundred forty-two million, six hundred six thousand, two hundred forty".