26704057680 has 480 divisors, whose sum is σ = 98858672640. Its totient is φ = 6435348480.

The previous prime is 26704057663. The next prime is 26704057687. The reversal of 26704057680 is 8675040762.

26704057680 is a `hidden beast` number, since 2 + 6 + 70 + 4 + 0 + 576 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26704057687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26360854 + ... + 26361866.

It is an arithmetic number, because the mean of its divisors is an integer number (205955568).

Almost surely, 2^26704057680 is an apocalyptic number.

26704057680 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 26704057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49429336320).

26704057680 is an abundant number, since it is smaller than the sum of its proper divisors (72154614960).

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

26704057680 is a wasteful number, since it uses less digits than its factorization.

26704057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 26704057680 in words is "twenty-six billion, seven hundred four million, fifty-seven thousand, six hundred eighty".