26477683674000 has 640 divisors, whose sum is σ = 96108334672896. Its totient is φ = 6222458880000.

The previous prime is 26477683673993. The next prime is 26477683674007. The reversal of 26477683674000 is 47638677462.

It is an interprime number because it is at equal distance from previous prime (26477683673993) and next prime (26477683674007).

It is a super-2 number, since 2×26477683674000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (26477683674007) 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, 970540360 + ... + 970567640.

Almost surely, 2^{26477683674000} is an apocalyptic number.

26477683674000 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 26477683674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054167336448).

26477683674000 is an abundant number, since it is smaller than the sum of its proper divisors (69630650998896).

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

26477683674000 is a wasteful number, since it uses less digits than its factorization.

26477683674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27884 (or 27868 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 26477683674000 in words is "twenty-six trillion, four hundred seventy-seven billion, six hundred eighty-three million, six hundred seventy-four thousand".