949472276760 has 1152 divisors, whose sum is σ = 3884981667840. Its totient is φ = 207712512000.

The previous prime is 949472276723. The next prime is 949472276801. The reversal of 949472276760 is 67672274949.

949472276760 is a `hidden beast` number, since 9 + 49 + 472 + 2 + 7 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1579820460 + ... + 1579821060.

It is an arithmetic number, because the mean of its divisors is an integer number (3372379920).

Almost surely, 2^949472276760 is an apocalyptic number.

949472276760 is a gapful number since it is divisible by the number (90) 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 949472276760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942490833920).

949472276760 is an abundant number, since it is smaller than the sum of its proper divisors (2935509391080).

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

949472276760 is a wasteful number, since it uses less digits than its factorization.

949472276760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 949472276760 in words is "nine hundred forty-nine billion, four hundred seventy-two million, two hundred seventy-six thousand, seven hundred sixty".