7638147072 has 196 divisors, whose sum is σ = 22920472320. Its totient is φ = 2544058368.

The previous prime is 7638147019. The next prime is 7638147091. The reversal of 7638147072 is 2707418367.

7638147072 is a `hidden beast` number, since 7 + 638 + 1 + 4 + 7 + 0 + 7 + 2 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5971329 + ... + 5972607.

Almost surely, 2^7638147072 is an apocalyptic number.

7638147072 is a gapful number since it is divisible by the number (72) 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 7638147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460236160).

7638147072 is an abundant number, since it is smaller than the sum of its proper divisors (15282325248).

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

7638147072 is an frugal number, since it uses more digits than its factorization.

7638147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7638147072 is about 87396.4934765692. The cubic root of 7638147072 is about 1969.3791641377.

The spelling of 7638147072 in words is "seven billion, six hundred thirty-eight million, one hundred forty-seven thousand, seventy-two".