7148865366720 has 3136 divisors, whose sum is σ = 34575159370752. Its totient is φ = 1361608704000.

The previous prime is 7148865366701. The next prime is 7148865366781. The reversal of 7148865366720 is 276635688417.

7148865366720 is a `hidden beast` number, since 7 + 1 + 488 + 65 + 36 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×7148865366720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 447 ways as a sum of consecutive naturals, for example, 12519904035 + ... + 12519904605.

Almost surely, 2^{7148865366720} is an apocalyptic number.

7148865366720 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 7148865366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287579685376).

7148865366720 is an abundant number, since it is smaller than the sum of its proper divisors (27426294004032).

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

7148865366720 is a wasteful number, since it uses less digits than its factorization.

7148865366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7148865366720 in words is "seven trillion, one hundred forty-eight billion, eight hundred sixty-five million, three hundred sixty-six thousand, seven hundred twenty".