20677076000 has 192 divisors, whose sum is σ = 58203774720. Its totient is φ = 7071897600.

The previous prime is 20677075987. The next prime is 20677076027. The reversal of 20677076000 is 67077602.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17331404 + ... + 17332596.

It is an arithmetic number, because the mean of its divisors is an integer number (303144660).

Almost surely, 2^20677076000 is an apocalyptic number.

20677076000 is a gapful number since it is divisible by the number (20) 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 20677076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29101887360).

20677076000 is an abundant number, since it is smaller than the sum of its proper divisors (37526698720).

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

20677076000 is a wasteful number, since it uses less digits than its factorization.

20677076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 20677076000 in words is "twenty billion, six hundred seventy-seven million, seventy-six thousand".