66772906200 has 1152 divisors, whose sum is σ = 311421734400. Its totient is φ = 12796185600.

The previous prime is 66772906141. The next prime is 66772906231. The reversal of 66772906200 is 260927766.

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 287 ways as a sum of consecutive naturals, for example, 59458839 + ... + 59459961.

Almost surely, 2^66772906200 is an apocalyptic number.

66772906200 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 66772906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155710867200).

66772906200 is an abundant number, since it is smaller than the sum of its proper divisors (244648828200).

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

66772906200 is a wasteful number, since it uses less digits than its factorization.

66772906200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 66772906200 in words is "sixty-six billion, seven hundred seventy-two million, nine hundred six thousand, two hundred".