13766942070 has 192 divisors, whose sum is σ = 41481662976. Its totient is φ = 3102865920.

The previous prime is 13766942069. The next prime is 13766942131. The reversal of 13766942070 is 7024966731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22312402 + ... + 22313018.

It is an arithmetic number, because the mean of its divisors is an integer number (216050328).

Almost surely, 2^13766942070 is an apocalyptic number.

13766942070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766942070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20740831488).

13766942070 is an abundant number, since it is smaller than the sum of its proper divisors (27714720906).

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

13766942070 is a wasteful number, since it uses less digits than its factorization.

13766942070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13766942070 in words is "thirteen billion, seven hundred sixty-six million, nine hundred forty-two thousand, seventy".