26767393920 has 512 divisors, whose sum is σ = 98985369600. Its totient is φ = 6828503040.

The previous prime is 26767393903. The next prime is 26767393921. The reversal of 26767393920 is 2939376762.

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

It is not an unprimeable number, because it can be changed into a prime (26767393921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57317527 + ... + 57317993.

It is an arithmetic number, because the mean of its divisors is an integer number (193330800).

Almost surely, 2^26767393920 is an apocalyptic number.

26767393920 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 26767393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49492684800).

26767393920 is an abundant number, since it is smaller than the sum of its proper divisors (72217975680).

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

26767393920 is a wasteful number, since it uses less digits than its factorization.

26767393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 26767393920 in words is "twenty-six billion, seven hundred sixty-seven million, three hundred ninety-three thousand, nine hundred twenty".