7642006272 has 54 divisors (see below), whose sum is σ = 22033794692. Its totient is φ = 2547334656.

The previous prime is 7642006259. The next prime is 7642006297. The reversal of 7642006272 is 2726002467.

7642006272 is a `hidden beast` number, since 7 + 6 + 4 + 20 + 0 + 627 + 2 = 666.

It is a super-2 number, since 2×7642006272² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1656118 + ... + 1660725.

Almost surely, 2^7642006272 is an apocalyptic number.

7642006272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7642006272 is an abundant number, since it is smaller than the sum of its proper divisors (14391788420).

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

7642006272 is a wasteful number, since it uses less digits than its factorization.

7642006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316865 (or 3316848 counting only the distinct ones).

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

The square root of 7642006272 is about 87418.5693774498. The cubic root of 7642006272 is about 1969.7107868181.

The spelling of 7642006272 in words is "seven billion, six hundred forty-two million, six thousand, two hundred seventy-two".