29678236486920 has 1536 divisors, whose sum is σ = 124721565696000. Its totient is φ = 6193886330880.

The previous prime is 29678236486781. The next prime is 29678236486949. The reversal of 29678236486920 is 2968463287692.

29678236486920 is a `hidden beast` number, since 2 + 9 + 67 + 82 + 3 + 6 + 486 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10780324264 + ... + 10780327016.

It is an arithmetic number, because the mean of its divisors is an integer number (81198936000).

Almost surely, 2^{29678236486920} is an apocalyptic number.

29678236486920 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 29678236486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62360782848000).

29678236486920 is an abundant number, since it is smaller than the sum of its proper divisors (95043329209080).

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

29678236486920 is a wasteful number, since it uses less digits than its factorization.

29678236486920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 29678236486920 in words is "twenty-nine trillion, six hundred seventy-eight billion, two hundred thirty-six million, four hundred eighty-six thousand, nine hundred twenty".