7151643007488 has 480 divisors, whose sum is σ = 25921711886400. Its totient is φ = 1935779586048.

The previous prime is 7151643007459. The next prime is 7151643007493. The reversal of 7151643007488 is 8847003461517.

7151643007488 is a `hidden beast` number, since 7 + 1 + 516 + 43 + 0 + 0 + 7 + 4 + 88 = 666.

It is a super-3 number, since 3×7151643007488³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12592306 + ... + 13147982.

It is an arithmetic number, because the mean of its divisors is an integer number (54003566430).

Almost surely, 2^{7151643007488} 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 7151643007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960855943200).

7151643007488 is an abundant number, since it is smaller than the sum of its proper divisors (18770068878912).

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

7151643007488 is a wasteful number, since it uses less digits than its factorization.

7151643007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555737 (or 555708 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7151643007488 in words is "seven trillion, one hundred fifty-one billion, six hundred forty-three million, seven thousand, four hundred eighty-eight".