29904064960 has 336 divisors, whose sum is σ = 90834045408. Its totient is φ = 9272524800.

The previous prime is 29904064873. The next prime is 29904064979. The reversal of 29904064960 is 6946040992.

It is a super-2 number, since 2×29904064960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48466572 + ... + 48467188.

Almost surely, 2^29904064960 is an apocalyptic number.

29904064960 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 29904064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417022704).

29904064960 is an abundant number, since it is smaller than the sum of its proper divisors (60929980448).

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

29904064960 is a wasteful number, since it uses less digits than its factorization.

29904064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 29904064960 in words is "twenty-nine billion, nine hundred four million, sixty-four thousand, nine hundred sixty".