26251644674640 has 320 divisors, whose sum is σ = 101466340595712. Its totient is φ = 5454594816000.

The previous prime is 26251644674623. The next prime is 26251644674657. The reversal of 26251644674640 is 4647644615262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26251644674623) and next prime (26251644674657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604144915 + ... + 604188365.

Almost surely, 2^{26251644674640} is an apocalyptic number.

26251644674640 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 26251644674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50733170297856).

26251644674640 is an abundant number, since it is smaller than the sum of its proper divisors (75214695921072).

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

26251644674640 is a wasteful number, since it uses less digits than its factorization.

26251644674640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76178 (or 76172 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 26251644674640 in words is "twenty-six trillion, two hundred fifty-one billion, six hundred forty-four million, six hundred seventy-four thousand, six hundred forty".