7264493824 has 81 divisors (see below), whose sum is σ = 16890252141. Its totient is φ = 3109263360.

The previous prime is 7264493807. The next prime is 7264493851. The reversal of 7264493824 is 4283944627.

The square root of 7264493824 is 85232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 7245414400 = 4368^2 + 85120^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9545604 + ... + 9546364.

Almost surely, 2^7264493824 is an apocalyptic number.

7264493824 is the 85232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7264493824

7264493824 is an abundant number, since it is smaller than the sum of its proper divisors (9625758317).

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

7264493824 is an frugal number, since it uses more digits than its factorization.

7264493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 770 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

The cubic root of 7264493824 is about 1936.7272044430.

Multiplying 7264493824 by its sum of digits (49), we get a square (355960197376 = 596624²).

7264493824 divided by its sum of digits (49) gives a square (148254976 = 12176²).

The spelling of 7264493824 in words is "seven billion, two hundred sixty-four million, four hundred ninety-three thousand, eight hundred twenty-four".