26947192320 has 960 divisors, whose sum is σ = 108539481600. Its totient is φ = 6317015040.

The previous prime is 26947192309. The next prime is 26947192331. The reversal of 26947192320 is 2329174962.

26947192320 is a `hidden beast` number, since 2 + 69 + 471 + 92 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26947192309) and next prime (26947192331).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379537885 + ... + 379537955.

It is an arithmetic number, because the mean of its divisors is an integer number (113061960).

Almost surely, 2^26947192320 is an apocalyptic number.

26947192320 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 26947192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54269740800).

26947192320 is an abundant number, since it is smaller than the sum of its proper divisors (81592289280).

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

26947192320 is a wasteful number, since it uses less digits than its factorization.

26947192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 26947192320 in words is "twenty-six billion, nine hundred forty-seven million, one hundred ninety-two thousand, three hundred twenty".