61772766000 has 320 divisors, whose sum is σ = 218503014912. Its totient is φ = 14889600000.

The previous prime is 61772765987. The next prime is 61772766017. The reversal of 61772766000 is 66727716.

61772766000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11943415 + ... + 11948585.

Almost surely, 2^61772766000 is an apocalyptic number.

61772766000 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 61772766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109251507456).

61772766000 is an abundant number, since it is smaller than the sum of its proper divisors (156730248912).

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

61772766000 is a wasteful number, since it uses less digits than its factorization.

61772766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 61772766000 in words is "sixty-one billion, seven hundred seventy-two million, seven hundred sixty-six thousand".