29785480704 has 800 divisors, whose sum is σ = 108374492160. Its totient is φ = 7966605312.

The previous prime is 29785480639. The next prime is 29785480787. The reversal of 29785480704 is 40708458792.

It is a happy number.

29785480704 is a `hidden beast` number, since 2 + 97 + 8 + 5 + 480 + 70 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 504838627 + ... + 504838685.

Almost surely, 2^29785480704 is an apocalyptic number.

29785480704 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 29785480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54187246080).

29785480704 is an abundant number, since it is smaller than the sum of its proper divisors (78589011456).

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

29785480704 is an equidigital number, since it uses as much as digits as its factorization.

29785480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 29785480704 in words is "twenty-nine billion, seven hundred eighty-five million, four hundred eighty thousand, seven hundred four".