10734197760 has 880 divisors, whose sum is σ = 45439666272. Its totient is φ = 2388787200.

The previous prime is 10734197743. The next prime is 10734197807. The reversal of 10734197760 is 6779143701.

It is a happy number.

10734197760 is a `hidden beast` number, since 107 + 3 + 419 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304870 + ... + 59305050.

Almost surely, 2^10734197760 is an apocalyptic number.

10734197760 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 10734197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719833136).

10734197760 is an abundant number, since it is smaller than the sum of its proper divisors (34705468512).

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

10734197760 is a wasteful number, since it uses less digits than its factorization.

10734197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10734197760 in words is "ten billion, seven hundred thirty-four million, one hundred ninety-seven thousand, seven hundred sixty".