6904965138390 has 480 divisors, whose sum is σ = 21803136284160. Its totient is φ = 1562131992960.

The previous prime is 6904965138377. The next prime is 6904965138403. The reversal of 6904965138390 is 938315694096.

6904965138390 is a `hidden beast` number, since 6 + 9 + 0 + 496 + 5 + 138 + 3 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6904965138377) and next prime (6904965138403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 124739059 + ... + 124794401.

It is an arithmetic number, because the mean of its divisors is an integer number (45423200592).

Almost surely, 2^{6904965138390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6904965138390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901568142080).

6904965138390 is an abundant number, since it is smaller than the sum of its proper divisors (14898171145770).

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

6904965138390 is a wasteful number, since it uses less digits than its factorization.

6904965138390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55470 (or 55450 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 6904965138390 in words is "six trillion, nine hundred four billion, nine hundred sixty-five million, one hundred thirty-eight thousand, three hundred ninety".