7467272064 has 320 divisors, whose sum is σ = 26224281600. Its totient is φ = 2064061440.

The previous prime is 7467272051. The next prime is 7467272077. The reversal of 7467272064 is 4602727647.

It is an interprime number because it is at equal distance from previous prime (7467272051) and next prime (7467272077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2248197 + ... + 2251515.

It is an arithmetic number, because the mean of its divisors is an integer number (81950880).

Almost surely, 2^7467272064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7467272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112140800).

7467272064 is an abundant number, since it is smaller than the sum of its proper divisors (18757009536).

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

7467272064 is a wasteful number, since it uses less digits than its factorization.

7467272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 7467272064 is about 86413.3789641396. The cubic root of 7467272064 is about 1954.5824348304.

The spelling of 7467272064 in words is "seven billion, four hundred sixty-seven million, two hundred seventy-two thousand, sixty-four".