20467214460 has 768 divisors, whose sum is σ = 82523750400. Its totient is φ = 4140253440.

The previous prime is 20467214429. The next prime is 20467214461. The reversal of 20467214460 is 6441276402.

20467214460 is a `hidden beast` number, since 204 + 6 + 7 + 2 + 1 + 446 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20467214461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 198710769 + ... + 198710871.

It is an arithmetic number, because the mean of its divisors is an integer number (107452800).

Almost surely, 2^20467214460 is an apocalyptic number.

20467214460 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 20467214460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261875200).

20467214460 is an abundant number, since it is smaller than the sum of its proper divisors (62056535940).

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

20467214460 is a wasteful number, since it uses less digits than its factorization.

20467214460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20467214460 in words is "twenty billion, four hundred sixty-seven million, two hundred fourteen thousand, four hundred sixty".