26640770400 has 432 divisors, whose sum is σ = 99718242624. Its totient is φ = 6936814080.

The previous prime is 26640770399. The next prime is 26640770407. The reversal of 26640770400 is 407704662.

26640770400 is a `hidden beast` number, since 2 + 6 + 640 + 7 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26640770407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8357607 + ... + 8360793.

Almost surely, 2^26640770400 is an apocalyptic number.

26640770400 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 26640770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49859121312).

26640770400 is an abundant number, since it is smaller than the sum of its proper divisors (73077472224).

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

26640770400 is a wasteful number, since it uses less digits than its factorization.

26640770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 26640770400 in words is "twenty-six billion, six hundred forty million, seven hundred seventy thousand, four hundred".