29797655040 has 480 divisors, whose sum is σ = 106349443200. Its totient is φ = 7707820032.

The previous prime is 29797655039. The next prime is 29797655077. The reversal of 29797655040 is 4055679792.

29797655040 is a `hidden beast` number, since 2 + 9 + 79 + 7 + 65 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149736861 + ... + 149737059.

It is an arithmetic number, because the mean of its divisors is an integer number (221561340).

Almost surely, 2^29797655040 is an apocalyptic number.

29797655040 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 29797655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53174721600).

29797655040 is an abundant number, since it is smaller than the sum of its proper divisors (76551788160).

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

29797655040 is a wasteful number, since it uses less digits than its factorization.

29797655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 29797655040 in words is "twenty-nine billion, seven hundred ninety-seven million, six hundred fifty-five thousand, forty".