29978438490 has 576 divisors, whose sum is σ = 106661318400. Its totient is φ = 5717986560.

The previous prime is 29978438473. The next prime is 29978438513. The reversal of 29978438490 is 9483487992.

29978438490 is a `hidden beast` number, since 2 + 9 + 97 + 84 + 384 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 167477221 + ... + 167477399.

It is an arithmetic number, because the mean of its divisors is an integer number (185175900).

Almost surely, 2^29978438490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29978438490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53330659200).

29978438490 is an abundant number, since it is smaller than the sum of its proper divisors (76682879910).

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

29978438490 is a wasteful number, since it uses less digits than its factorization.

29978438490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 29978438490 in words is "twenty-nine billion, nine hundred seventy-eight million, four hundred thirty-eight thousand, four hundred ninety".