20767666140 has 960 divisors, whose sum is σ = 81142871040. Its totient is φ = 4389396480.

The previous prime is 20767666111. The next prime is 20767666169. The reversal of 20767666140 is 4166676702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20767666111) and next prime (20767666169).

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 319 ways as a sum of consecutive naturals, for example, 292502305 + ... + 292502375.

It is an arithmetic number, because the mean of its divisors is an integer number (84523824).

Almost surely, 2^20767666140 is an apocalyptic number.

20767666140 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 20767666140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40571435520).

20767666140 is an abundant number, since it is smaller than the sum of its proper divisors (60375204900).

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

20767666140 is a wasteful number, since it uses less digits than its factorization.

20767666140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20767666140 in words is "twenty billion, seven hundred sixty-seven million, six hundred sixty-six thousand, one hundred forty".