19468670760 has 640 divisors, whose sum is σ = 82777939200. Its totient is φ = 3986288640.

The previous prime is 19468670713. The next prime is 19468670761. The reversal of 19468670760 is 6707686491.

It is a happy number.

It is a super-2 number, since 2×19468670760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19468670697 and 19468670706.

It is not an unprimeable number, because it can be changed into a prime (19468670761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18211506 + ... + 18212574.

It is an arithmetic number, because the mean of its divisors is an integer number (129340530).

Almost surely, 2^19468670760 is an apocalyptic number.

19468670760 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 19468670760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41388969600).

19468670760 is an abundant number, since it is smaller than the sum of its proper divisors (63309268440).

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

19468670760 is a wasteful number, since it uses less digits than its factorization.

19468670760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 19468670760 in words is "nineteen billion, four hundred sixty-eight million, six hundred seventy thousand, seven hundred sixty".