66257049600 has 1152 divisors, whose sum is σ = 286631654400. Its totient is φ = 14686617600.

The previous prime is 66257049587. The next prime is 66257049629. The reversal of 66257049600 is 694075266.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396748717 + ... + 396748883.

It is an arithmetic number, because the mean of its divisors is an integer number (248812200).

Almost surely, 2^66257049600 is an apocalyptic number.

66257049600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66257049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143315827200).

66257049600 is an abundant number, since it is smaller than the sum of its proper divisors (220374604800).

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

66257049600 is a wasteful number, since it uses less digits than its factorization.

66257049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66257049600 in words is "sixty-six billion, two hundred fifty-seven million, forty-nine thousand, six hundred".