949388397672960 has 1920 divisors, whose sum is σ = 4099574167603200. Its totient is φ = 198119799521280.

The previous prime is 949388397672877. The next prime is 949388397672971. The reversal of 949388397672960 is 69276793883949.

949388397672960 is a `hidden beast` number, since 9 + 4 + 9 + 3 + 88 + 397 + 67 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48609298395 + ... + 48609317925.

It is an arithmetic number, because the mean of its divisors is an integer number (2135194878960).

Almost surely, 2^{949388397672960} is an apocalyptic number.

949388397672960 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 949388397672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049787083801600).

949388397672960 is an abundant number, since it is smaller than the sum of its proper divisors (3150185769930240).

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

949388397672960 is a wasteful number, since it uses less digits than its factorization.

949388397672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 53331167232, while the sum is 90.

The spelling of 949388397672960 in words is "nine hundred forty-nine trillion, three hundred eighty-eight billion, three hundred ninety-seven million, six hundred seventy-two thousand, nine hundred sixty".