949660646400 has 396 divisors, whose sum is σ = 3509945767744. Its totient is φ = 245071872000.

The previous prime is 949660646309. The next prime is 949660646401. The reversal of 949660646400 is 4646066949.

949660646400 is a `hidden beast` number, since 94 + 96 + 6 + 0 + 6 + 464 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949660646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7075920 + ... + 7208880.

Almost surely, 2^949660646400 is an apocalyptic number.

949660646400 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 949660646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754972883872).

949660646400 is an abundant number, since it is smaller than the sum of its proper divisors (2560285121344).

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

949660646400 is a wasteful number, since it uses less digits than its factorization.

949660646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133028 (or 133002 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 949660646400 in words is "nine hundred forty-nine billion, six hundred sixty million, six hundred forty-six thousand, four hundred".