7054317012960 has 768 divisors, whose sum is σ = 28373476884480. Its totient is φ = 1603517368320.

The previous prime is 7054317012871. The next prime is 7054317013039. The reversal of 7054317012960 is 692107134507.

7054317012960 is a `hidden beast` number, since 7 + 0 + 543 + 1 + 7 + 0 + 12 + 96 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7777636827 + ... + 7777637733.

It is an arithmetic number, because the mean of its divisors is an integer number (36944631360).

Almost surely, 2^{7054317012960} is an apocalyptic number.

7054317012960 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 7054317012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186738442240).

7054317012960 is an abundant number, since it is smaller than the sum of its proper divisors (21319159871520).

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

7054317012960 is a wasteful number, since it uses less digits than its factorization.

7054317012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 7054317012960 in words is "seven trillion, fifty-four billion, three hundred seventeen million, twelve thousand, nine hundred sixty".