10347764790840 has 256 divisors, whose sum is σ = 33274312704000. Its totient is φ = 2565271166976.

The previous prime is 10347764790809. The next prime is 10347764790859. The reversal of 10347764790840 is 4809746774301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58723186 + ... + 58899134.

It is an arithmetic number, because the mean of its divisors is an integer number (129977784000).

Almost surely, 2^{10347764790840} is an apocalyptic number.

10347764790840 is a gapful number since it is divisible by the number (10) 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 10347764790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637156352000).

10347764790840 is an abundant number, since it is smaller than the sum of its proper divisors (22926547913160).

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

10347764790840 is a wasteful number, since it uses less digits than its factorization.

10347764790840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176334 (or 176330 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 10347764790840 in words is "ten trillion, three hundred forty-seven billion, seven hundred sixty-four million, seven hundred ninety thousand, eight hundred forty".