20349978624 has 288 divisors, whose sum is σ = 61698087360. Its totient is φ = 6700548096.

The previous prime is 20349978619. The next prime is 20349978647. The reversal of 20349978624 is 42687994302.

20349978624 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 9 + 9 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 51259194 + ... + 51259590.

It is an arithmetic number, because the mean of its divisors is an integer number (214229470).

Almost surely, 2^20349978624 is an apocalyptic number.

20349978624 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 20349978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30849043680).

20349978624 is an abundant number, since it is smaller than the sum of its proper divisors (41348108736).

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

20349978624 is an equidigital number, since it uses as much as digits as its factorization.

20349978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20349978624 in words is "twenty billion, three hundred forty-nine million, nine hundred seventy-eight thousand, six hundred twenty-four".