26478260640 has 768 divisors, whose sum is σ = 105020375040. Its totient is φ = 6185963520.

The previous prime is 26478260639. The next prime is 26478260647. The reversal of 26478260640 is 4606287462.

26478260640 is a `hidden beast` number, since 264 + 78 + 260 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26478260647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116644207 + ... + 116644433.

It is an arithmetic number, because the mean of its divisors is an integer number (136745280).

Almost surely, 2^26478260640 is an apocalyptic number.

26478260640 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 26478260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52510187520).

26478260640 is an abundant number, since it is smaller than the sum of its proper divisors (78542114400).

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

26478260640 is a wasteful number, since it uses less digits than its factorization.

26478260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 26478260640 in words is "twenty-six billion, four hundred seventy-eight million, two hundred sixty thousand, six hundred forty".