264220672576 has 189 divisors, whose sum is σ = 623706441561. Its totient is φ = 110733106176.

The previous prime is 264220672561. The next prime is 264220672589. The reversal of 264220672576 is 675276022462.

It is a happy number.

The square root of 264220672576 is 514024.

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., 155204481600 + 109016190976 = 393960^2 + 330176^2 .

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 26 ways as a sum of consecutive naturals, for example, 1928617980 + ... + 1928618116.

Almost surely, 2^264220672576 is an apocalyptic number.

264220672576 is the 514024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264220672576

264220672576 is an abundant number, since it is smaller than the sum of its proper divisors (359485768985).

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

264220672576 is an frugal number, since it uses more digits than its factorization.

264220672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 264220672576 by its sum of digits (49), we get a square (12946812956224 = 3598168²).

264220672576 divided by its sum of digits (49) gives a square (5392258624 = 73432²).

The spelling of 264220672576 in words is "two hundred sixty-four billion, two hundred twenty million, six hundred seventy-two thousand, five hundred seventy-six".