949376653505280 has 3456 divisors, whose sum is σ = 4561897557934080. Its totient is φ = 175862513664000.

The previous prime is 949376653505261. The next prime is 949376653505407. The reversal of 949376653505280 is 82505356673949.

949376653505280 is a `hidden beast` number, since 9 + 4 + 9 + 3 + 7 + 6 + 6 + 535 + 0 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 949376653505199 and 949376653505208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 193395119466 + ... + 193395124374.

Almost surely, 2^{949376653505280} is an apocalyptic number.

949376653505280 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 949376653505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280948778967040).

949376653505280 is an abundant number, since it is smaller than the sum of its proper divisors (3612520904428800).

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

949376653505280 is a wasteful number, since it uses less digits than its factorization.

949376653505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 949376653505280 in words is "nine hundred forty-nine trillion, three hundred seventy-six billion, six hundred fifty-three million, five hundred five thousand, two hundred eighty".