26761620480 has 792 divisors, whose sum is σ = 105666369264. Its totient is φ = 5759631360.

The previous prime is 26761620419. The next prime is 26761620497. The reversal of 26761620480 is 8402616762.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 723287022 + ... + 723287058.

Almost surely, 2^26761620480 is an apocalyptic number.

26761620480 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 26761620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52833184632).

26761620480 is an abundant number, since it is smaller than the sum of its proper divisors (78904748784).

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

26761620480 is a wasteful number, since it uses less digits than its factorization.

26761620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 26761620480 in words is "twenty-six billion, seven hundred sixty-one million, six hundred twenty thousand, four hundred eighty".