66254760000 has 1575 divisors, whose sum is σ = 292107599553. Its totient is φ = 14826240000.

The previous prime is 66254759941. The next prime is 66254760041. The reversal of 66254760000 is 6745266.

The square root of 66254760000 is 257400.

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

66254760000 is a `hidden beast` number, since 6 + 6 + 2 + 5 + 47 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 65441825856 + 812934144 = 255816^2 + 28512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 5096519994 + ... + 5096520006.

Almost surely, 2^66254760000 is an apocalyptic number.

66254760000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66254760000 is the 257400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66254760000

66254760000 is an abundant number, since it is smaller than the sum of its proper divisors (225852839553).

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

66254760000 is a wasteful number, since it uses less digits than its factorization.

66254760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 66254760000 by its sum of digits (36), we get a square (2385171360000 = 1544400²).

66254760000 divided by its sum of digits (36) gives a square (1840410000 = 42900²).

The spelling of 66254760000 in words is "sixty-six billion, two hundred fifty-four million, seven hundred sixty thousand".