20077946000 has 480 divisors, whose sum is σ = 61128587520. Its totient is φ = 6338304000.

The previous prime is 20077945991. The next prime is 20077946003. The reversal of 20077946000 is 64977002.

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

It is not an unprimeable number, because it can be changed into a prime (20077946003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76341869 + ... + 76342131.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 2^20077946000 is an apocalyptic number.

20077946000 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 20077946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

20077946000 is an abundant number, since it is smaller than the sum of its proper divisors (41050641520).

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

20077946000 is a wasteful number, since it uses less digits than its factorization.

20077946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 20077946000 in words is "twenty billion, seventy-seven million, nine hundred forty-six thousand".