26670416640 has 576 divisors, whose sum is σ = 100874833920. Its totient is φ = 5879808000.

The previous prime is 26670416611. The next prime is 26670416657. The reversal of 26670416640 is 4661407662.

It is a happy number.

It is a super-3 number, since 3×26670416640³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26670416592 and 26670416601.

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, 106256515 + ... + 106256765.

It is an arithmetic number, because the mean of its divisors is an integer number (175129920).

Almost surely, 2^26670416640 is an apocalyptic number.

26670416640 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 26670416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50437416960).

26670416640 is an abundant number, since it is smaller than the sum of its proper divisors (74204417280).

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

26670416640 is a wasteful number, since it uses less digits than its factorization.

26670416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 26670416640 in words is "twenty-six billion, six hundred seventy million, four hundred sixteen thousand, six hundred forty".