20329157464 has 256 divisors, whose sum is σ = 53648179200. Its totient is φ = 6971443200.

The previous prime is 20329157437. The next prime is 20329157467. The reversal of 20329157464 is 46475192302.

It is a super-2 number, since 2×20329157464² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20329157464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329157467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16513729 + ... + 16514959.

It is an arithmetic number, because the mean of its divisors is an integer number (209563200).

Almost surely, 2^20329157464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20329157464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824089600).

20329157464 is an abundant number, since it is smaller than the sum of its proper divisors (33319021736).

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

20329157464 is a wasteful number, since it uses less digits than its factorization.

20329157464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 20329157464 in words is "twenty billion, three hundred twenty-nine million, one hundred fifty-seven thousand, four hundred sixty-four".