26076470400 has 384 divisors, whose sum is σ = 96172862400. Its totient is φ = 6899834880.

The previous prime is 26076470389. The next prime is 26076470411. The reversal of 26076470400 is 407467062.

26076470400 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 647 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26076470389) and next prime (26076470411).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11835699 + ... + 11837901.

Almost surely, 2^26076470400 is an apocalyptic number.

26076470400 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 26076470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48086431200).

26076470400 is an abundant number, since it is smaller than the sum of its proper divisors (70096392000).

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

26076470400 is a wasteful number, since it uses less digits than its factorization.

26076470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2350 counting only the distinct ones).

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

The spelling of 26076470400 in words is "twenty-six billion, seventy-six million, four hundred seventy thousand, four hundred".