19780429824 has 384 divisors, whose sum is σ = 62144409600. Its totient is φ = 6204211200.

The previous prime is 19780429789. The next prime is 19780429831. The reversal of 19780429824 is 42892408791.

19780429824 is a `hidden beast` number, since 197 + 8 + 0 + 429 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130996149 + ... + 130996299.

It is an arithmetic number, because the mean of its divisors is an integer number (161834400).

Almost surely, 2^19780429824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19780429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072204800).

19780429824 is an abundant number, since it is smaller than the sum of its proper divisors (42363979776).

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

19780429824 is a wasteful number, since it uses less digits than its factorization.

19780429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19780429824 in words is "nineteen billion, seven hundred eighty million, four hundred twenty-nine thousand, eight hundred twenty-four".