2506476766464 has 1152 divisors, whose sum is σ = 8804931932160. Its totient is φ = 694871654400.

The previous prime is 2506476766459. The next prime is 2506476766487. The reversal of 2506476766464 is 4646676746052.

2506476766464 is a `hidden beast` number, since 2 + 50 + 6 + 4 + 7 + 67 + 66 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8919846004 + ... + 8919846284.

It is an arithmetic number, because the mean of its divisors is an integer number (7643170080).

Almost surely, 2^{2506476766464} is an apocalyptic number.

2506476766464 is a gapful number since it is divisible by the number (24) 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 2506476766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402465966080).

2506476766464 is an abundant number, since it is smaller than the sum of its proper divisors (6298455165696).

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

2506476766464 is a wasteful number, since it uses less digits than its factorization.

2506476766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 2506476766464 in words is "two trillion, five hundred six billion, four hundred seventy-six million, seven hundred sixty-six thousand, four hundred sixty-four".