20377463597568 has 1920 divisors, whose sum is σ = 78714811929600. Its totient is φ = 5145115852800.

The previous prime is 20377463597563. The next prime is 20377463597593. The reversal of 20377463597568 is 86579536477302.

20377463597568 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 7 + 4 + 6 + 3 + 59 + 7 + 568 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20377463597496 and 20377463597505.

It is not an unprimeable number, because it can be changed into a prime (20377463597563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48633564463 + ... + 48633564881.

It is an arithmetic number, because the mean of its divisors is an integer number (40997297880).

Almost surely, 2^{20377463597568} is an apocalyptic number.

20377463597568 is a gapful number since it is divisible by the number (28) 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 20377463597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357405964800).

20377463597568 is an abundant number, since it is smaller than the sum of its proper divisors (58337348332032).

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

20377463597568 is a wasteful number, since it uses less digits than its factorization.

20377463597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 20377463597568 in words is "twenty trillion, three hundred seventy-seven billion, four hundred sixty-three million, five hundred ninety-seven thousand, five hundred sixty-eight".