26382671640 has 384 divisors, whose sum is σ = 97141524480. Its totient is φ = 6161126400.

The previous prime is 26382671639. The next prime is 26382671641. The reversal of 26382671640 is 4617628362.

26382671640 is a `hidden beast` number, since 2 + 638 + 2 + 6 + 7 + 1 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26382671639) and next prime (26382671641).

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 (26382671641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14099905 + ... + 14101775.

It is an arithmetic number, because the mean of its divisors is an integer number (252972720).

Almost surely, 2^26382671640 is an apocalyptic number.

26382671640 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 26382671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48570762240).

26382671640 is an abundant number, since it is smaller than the sum of its proper divisors (70758852840).

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

26382671640 is a wasteful number, since it uses less digits than its factorization.

26382671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26382671640 in words is "twenty-six billion, three hundred eighty-two million, six hundred seventy-one thousand, six hundred forty".