7126954560 has 896 divisors, whose sum is σ = 29494886400. Its totient is φ = 1603584000.

The previous prime is 7126954559. The next prime is 7126954577. The reversal of 7126954560 is 654596217.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120795811 + ... + 120795869.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^7126954560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747443200).

7126954560 is an abundant number, since it is smaller than the sum of its proper divisors (22367931840).

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

7126954560 is a wasteful number, since it uses less digits than its factorization.

7126954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7126954560 is about 84421.2921009860. The cubic root of 7126954560 is about 1924.4265057236.

The spelling of 7126954560 in words is "seven billion, one hundred twenty-six million, nine hundred fifty-four thousand, five hundred sixty".