26721976320 has 816 divisors, whose sum is σ = 108205926192. Its totient is φ = 6039797760.

The previous prime is 26721976297. The next prime is 26721976339. The reversal of 26721976320 is 2367912762.

26721976320 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 1 + 9 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4063297536 + 22658678784 = 63744^2 + 150528^2 .

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651755500 + ... + 651755540.

Almost surely, 2^26721976320 is an apocalyptic number.

26721976320 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 26721976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102963096).

26721976320 is an abundant number, since it is smaller than the sum of its proper divisors (81483949872).

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

26721976320 is a wasteful number, since it uses less digits than its factorization.

26721976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 26721976320 in words is "twenty-six billion, seven hundred twenty-one million, nine hundred seventy-six thousand, three hundred twenty".