26947914840 has 768 divisors, whose sum is σ = 114452352000. Its totient is φ = 5519923200.

The previous prime is 26947914827. The next prime is 26947914857. The reversal of 26947914840 is 4841974962.

26947914840 is a `hidden beast` number, since 2 + 6 + 94 + 79 + 1 + 484 + 0 = 666.

It is a super-2 number, since 2×26947914840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81413475 + ... + 81413805.

It is an arithmetic number, because the mean of its divisors is an integer number (149026500).

Almost surely, 2^26947914840 is an apocalyptic number.

26947914840 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 26947914840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57226176000).

26947914840 is an abundant number, since it is smaller than the sum of its proper divisors (87504437160).

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

26947914840 is a wasteful number, since it uses less digits than its factorization.

26947914840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26947914840 in words is "twenty-six billion, nine hundred forty-seven million, nine hundred fourteen thousand, eight hundred forty".