6062772240 has 280 divisors, whose sum is σ = 24155055168. Its totient is φ = 1385683200.

The previous prime is 6062772227. The next prime is 6062772251. The reversal of 6062772240 is 422772606.

6062772240 is a `hidden beast` number, since 6 + 0 + 627 + 7 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×6062772240² = 73514414468229235200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 6062772195 and 6062772204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 400815 + ... + 415665.

Almost surely, 2^6062772240 is an apocalyptic number.

6062772240 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 6062772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077527584).

6062772240 is an abundant number, since it is smaller than the sum of its proper divisors (18092282928).

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

6062772240 is a wasteful number, since it uses less digits than its factorization.

6062772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889 (or 14868 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6062772240 is about 77863.8057122820. The cubic root of 6062772240 is about 1823.4355507609.

The spelling of 6062772240 in words is "six billion, sixty-two million, seven hundred seventy-two thousand, two hundred forty".