29424734640 has 240 divisors, whose sum is σ = 113992489728. Its totient is φ = 6662674944.

The previous prime is 29424734629. The next prime is 29424734653. The reversal of 29424734640 is 4643742492.

29424734640 is a `hidden beast` number, since 29 + 4 + 247 + 346 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 511999 + ... + 566561.

Almost surely, 2^29424734640 is an apocalyptic number.

29424734640 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 29424734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996244864).

29424734640 is an abundant number, since it is smaller than the sum of its proper divisors (84567755088).

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

29424734640 is a wasteful number, since it uses less digits than its factorization.

29424734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54696 (or 54687 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 29424734640 in words is "twenty-nine billion, four hundred twenty-four million, seven hundred thirty-four thousand, six hundred forty".