29868296640 has 896 divisors, whose sum is σ = 123878522880. Its totient is φ = 5927731200.

The previous prime is 29868296597. The next prime is 29868296699. The reversal of 29868296640 is 4669286892.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111034426 + ... + 111034694.

It is an arithmetic number, because the mean of its divisors is an integer number (138257280).

Almost surely, 2^29868296640 is an apocalyptic number.

29868296640 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 29868296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61939261440).

29868296640 is an abundant number, since it is smaller than the sum of its proper divisors (94010226240).

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

29868296640 is a wasteful number, since it uses less digits than its factorization.

29868296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 29868296640 in words is "twenty-nine billion, eight hundred sixty-eight million, two hundred ninety-six thousand, six hundred forty".