26629447680 has 672 divisors, whose sum is σ = 104589072000. Its totient is φ = 6423183360.

The previous prime is 26629447673. The next prime is 26629447687. The reversal of 26629447680 is 8674492662.

26629447680 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 94 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (26629447673) and next prime (26629447687).

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

It is not an unprimeable number, because it can be changed into a prime (26629447687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133816221 + ... + 133816419.

It is an arithmetic number, because the mean of its divisors is an integer number (155638500).

Almost surely, 2^26629447680 is an apocalyptic number.

26629447680 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 26629447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52294536000).

26629447680 is an abundant number, since it is smaller than the sum of its proper divisors (77959624320).

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

26629447680 is a wasteful number, since it uses less digits than its factorization.

26629447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 26629447680 in words is "twenty-six billion, six hundred twenty-nine million, four hundred forty-seven thousand, six hundred eighty".