67077000900 has 432 divisors, whose sum is σ = 259545721344. Its totient is φ = 14110018560.

The previous prime is 67077000883. The next prime is 67077000937. The reversal of 67077000900 is 900077076.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32513269 + ... + 32515331.

Almost surely, 2^67077000900 is an apocalyptic number.

67077000900 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 67077000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129772860672).

67077000900 is an abundant number, since it is smaller than the sum of its proper divisors (192468720444).

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

67077000900 is a wasteful number, since it uses less digits than its factorization.

67077000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

Adding to 67077000900 its reverse (900077076), we get a palindrome (67977077976).

The spelling of 67077000900 in words is "sixty-seven billion, seventy-seven million, nine hundred", and thus it is an aban number.