7292607648 has 192 divisors, whose sum is σ = 20523589632. Its totient is φ = 2263127040.

The previous prime is 7292607601. The next prime is 7292607659. The reversal of 7292607648 is 8467062927.

It is a self number, because there is not a number n which added to its sum of digits gives 7292607648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11341215 + ... + 11341857.

It is an arithmetic number, because the mean of its divisors is an integer number (106893696).

Almost surely, 2^7292607648 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 7292607648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261794816).

7292607648 is an abundant number, since it is smaller than the sum of its proper divisors (13230981984).

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

7292607648 is a wasteful number, since it uses less digits than its factorization.

7292607648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 7292607648 is about 85396.7660277601. The cubic root of 7292607648 is about 1939.2223871845. Note that the first 3 decimals are identical.

The spelling of 7292607648 in words is "seven billion, two hundred ninety-two million, six hundred seven thousand, six hundred forty-eight".