7813780475904 has 624 divisors, whose sum is σ = 24669845141760. Its totient is φ = 2368579829760.

The previous prime is 7813780475843. The next prime is 7813780475923. The reversal of 7813780475904 is 4095740873187.

7813780475904 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 78 + 0 + 475 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×7813780475904² (a number of 27 digits) contains 22 as substring.

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, 15351238402 + ... + 15351238910.

It is an arithmetic number, because the mean of its divisors is an integer number (39535008240).

Almost surely, 2^{7813780475904} 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 7813780475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334922570880).

7813780475904 is an abundant number, since it is smaller than the sum of its proper divisors (16856064665856).

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

7813780475904 is a wasteful number, since it uses less digits than its factorization.

7813780475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 7813780475904 in words is "seven trillion, eight hundred thirteen billion, seven hundred eighty million, four hundred seventy-five thousand, nine hundred four".