29700864648 has 512 divisors, whose sum is σ = 106315776000. Its totient is φ = 7472424960.

The previous prime is 29700864541. The next prime is 29700864649. The reversal of 29700864648 is 84646800792.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29700864594 and 29700864603.

It is not an unprimeable number, because it can be changed into a prime (29700864649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48137236 + ... + 48137852.

It is an arithmetic number, because the mean of its divisors is an integer number (207648000).

Almost surely, 2^29700864648 is an apocalyptic number.

29700864648 is a gapful number since it is divisible by the number (28) 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 29700864648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53157888000).

29700864648 is an abundant number, since it is smaller than the sum of its proper divisors (76614911352).

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

29700864648 is a wasteful number, since it uses less digits than its factorization.

29700864648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 29700864648 in words is "twenty-nine billion, seven hundred million, eight hundred sixty-four thousand, six hundred forty-eight".