15745034760 has 768 divisors, whose sum is σ = 64189843200. Its totient is φ = 3051675648.

The previous prime is 15745034749. The next prime is 15745034761. The reversal of 15745034760 is 6743054751.

It is a happy number.

It is a super-2 number, since 2×15745034760² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (15745034761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53737174 + ... + 53737466.

It is an arithmetic number, because the mean of its divisors is an integer number (83580525).

Almost surely, 2^15745034760 is an apocalyptic number.

15745034760 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 15745034760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32094921600).

15745034760 is an abundant number, since it is smaller than the sum of its proper divisors (48444808440).

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

15745034760 is a wasteful number, since it uses less digits than its factorization.

15745034760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 15745034760 in words is "fifteen billion, seven hundred forty-five million, thirty-four thousand, seven hundred sixty".