26907375040 has 448 divisors, whose sum is σ = 83503300608. Its totient is φ = 8028979200.

The previous prime is 26907375029. The next prime is 26907375059. The reversal of 26907375040 is 4057370962.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 37011157 + ... + 37011883.

It is an arithmetic number, because the mean of its divisors is an integer number (186391296).

Almost surely, 2^26907375040 is an apocalyptic number.

26907375040 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 26907375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41751650304).

26907375040 is an abundant number, since it is smaller than the sum of its proper divisors (56595925568).

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

26907375040 is a wasteful number, since it uses less digits than its factorization.

26907375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 26907375040 in words is "twenty-six billion, nine hundred seven million, three hundred seventy-five thousand, forty".