20074770144 has 576 divisors, whose sum is σ = 72486767808. Its totient is φ = 5175705600.

The previous prime is 20074770113. The next prime is 20074770167. The reversal of 20074770144 is 44107747002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20074770099 and 20074770108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37106514 + ... + 37107054.

It is an arithmetic number, because the mean of its divisors is an integer number (125845083).

Almost surely, 2^20074770144 is an apocalyptic number.

20074770144 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 20074770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36243383904).

20074770144 is an abundant number, since it is smaller than the sum of its proper divisors (52411997664).

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

20074770144 is a wasteful number, since it uses less digits than its factorization.

20074770144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 20074770144 in words is "twenty billion, seventy-four million, seven hundred seventy thousand, one hundred forty-four".