6951450960 has 480 divisors, whose sum is σ = 26448664320. Its totient is φ = 1625702400.

The previous prime is 6951450959. The next prime is 6951450997. The reversal of 6951450960 is 690541596.

It is a happy number.

6951450960 is a `hidden beast` number, since 69 + 51 + 450 + 96 + 0 = 666.

It is a super-3 number, since 3×6951450960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16511550 + ... + 16511970.

It is an arithmetic number, because the mean of its divisors is an integer number (55101384).

Almost surely, 2^6951450960 is an apocalyptic number.

6951450960 is a gapful number since it is divisible by the number (60) 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 6951450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224332160).

6951450960 is an abundant number, since it is smaller than the sum of its proper divisors (19497213360).

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

6951450960 is a wasteful number, since it uses less digits than its factorization.

6951450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6951450960 is about 83375.3618283003. The cubic root of 6951450960 is about 1908.4984919043.

The spelling of 6951450960 in words is "six billion, nine hundred fifty-one million, four hundred fifty thousand, nine hundred sixty".