26672478621696 has 624 divisors, whose sum is σ = 85292576328960. Its totient is φ = 7988104396800.

The previous prime is 26672478621647. The next prime is 26672478621703. The reversal of 26672478621696 is 69612687427662.

26672478621696 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 478 + 62 + 1 + 6 + 96 = 666.

It is a super-2 number, since 2×26672478621696² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8662706685 + ... + 8662709763.

It is an arithmetic number, because the mean of its divisors is an integer number (136686821040).

Almost surely, 2^{26672478621696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26672478621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42646288164480).

26672478621696 is an abundant number, since it is smaller than the sum of its proper divisors (58620097707264).

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

26672478621696 is a wasteful number, since it uses less digits than its factorization.

26672478621696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3725 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 26672478621696 in words is "twenty-six trillion, six hundred seventy-two billion, four hundred seventy-eight million, six hundred twenty-one thousand, six hundred ninety-six".