7051954560 has 384 divisors, whose sum is σ = 27293241600. Its totient is φ = 1541320704.

The previous prime is 7051954517. The next prime is 7051954571. The reversal of 7051954560 is 654591507.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162211 + ... + 2165469.

It is an arithmetic number, because the mean of its divisors is an integer number (71076150).

Almost surely, 2^7051954560 is an apocalyptic number.

7051954560 is a gapful number since it is divisible by the number (70) 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 7051954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646620800).

7051954560 is an abundant number, since it is smaller than the sum of its proper divisors (20241287040).

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

7051954560 is a wasteful number, since it uses less digits than its factorization.

7051954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 7051954560 is about 83975.9165475436. The cubic root of 7051954560 is about 1917.6521648874.

The spelling of 7051954560 in words is "seven billion, fifty-one million, nine hundred fifty-four thousand, five hundred sixty".