10694634720 has 384 divisors, whose sum is σ = 44473992192. Its totient is φ = 2091417600.

The previous prime is 10694634719. The next prime is 10694634749. The reversal of 10694634720 is 2743649601.

It is a super-3 number, since 3×10694634720³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 619810 + ... + 636830.

It is an arithmetic number, because the mean of its divisors is an integer number (115817688).

Almost surely, 2^10694634720 is an apocalyptic number.

10694634720 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 10694634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22236996096).

10694634720 is an abundant number, since it is smaller than the sum of its proper divisors (33779357472).

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

10694634720 is a wasteful number, since it uses less digits than its factorization.

10694634720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17074 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 10694634720 in words is "ten billion, six hundred ninety-four million, six hundred thirty-four thousand, seven hundred twenty".