20393700480 has 640 divisors, whose sum is σ = 78416624880. Its totient is φ = 5032378368.

The previous prime is 20393700461. The next prime is 20393700533. The reversal of 20393700480 is 8400739302.

20393700480 is a `hidden beast` number, since 20 + 3 + 93 + 70 + 0 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6939556416 + 13454144064 = 83304^2 + 115992^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64333282 + ... + 64333598.

Almost surely, 2^20393700480 is an apocalyptic number.

20393700480 is a gapful number since it is divisible by the number (20) 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 20393700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208312440).

20393700480 is an abundant number, since it is smaller than the sum of its proper divisors (58022924400).

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

20393700480 is a wasteful number, since it uses less digits than its factorization.

20393700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20393700480 in words is "twenty billion, three hundred ninety-three million, seven hundred thousand, four hundred eighty".