29974639464 has 384 divisors, whose sum is σ = 107032320000. Its totient is φ = 7684709760.

The previous prime is 29974639463. The next prime is 29974639501. The reversal of 29974639464 is 46493647992.

29974639464 is a `hidden beast` number, since 29 + 9 + 7 + 463 + 94 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29974639463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9195867 + ... + 9199125.

It is an arithmetic number, because the mean of its divisors is an integer number (278730000).

Almost surely, 2^29974639464 is an apocalyptic number.

29974639464 is a gapful number since it is divisible by the number (24) 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 29974639464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53516160000).

29974639464 is an abundant number, since it is smaller than the sum of its proper divisors (77057680536).

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

29974639464 is a wasteful number, since it uses less digits than its factorization.

29974639464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3361 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 29974639464 in words is "twenty-nine billion, nine hundred seventy-four million, six hundred thirty-nine thousand, four hundred sixty-four".