26348067287640 has 1536 divisors, whose sum is σ = 108132710400000. Its totient is φ = 5429056389120.

The previous prime is 26348067287639. The next prime is 26348067287767. The reversal of 26348067287640 is 4678276084362.

It is a happy number.

26348067287640 is a `hidden beast` number, since 2 + 6 + 3 + 480 + 6 + 72 + 87 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24106190934 + ... + 24106192026.

It is an arithmetic number, because the mean of its divisors is an integer number (70398900000).

Almost surely, 2^{26348067287640} is an apocalyptic number.

26348067287640 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 26348067287640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54066355200000).

26348067287640 is an abundant number, since it is smaller than the sum of its proper divisors (81784643112360).

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

26348067287640 is a wasteful number, since it uses less digits than its factorization.

26348067287640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 26348067287640 in words is "twenty-six trillion, three hundred forty-eight billion, sixty-seven million, two hundred eighty-seven thousand, six hundred forty".