7982766570240 has 3456 divisors, whose sum is σ = 38750001561600. Its totient is φ = 1517477068800.

The previous prime is 7982766570199. The next prime is 7982766570287. The reversal of 7982766570240 is 420756672897.

7982766570240 is a `hidden beast` number, since 79 + 8 + 276 + 6 + 57 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×7982766570240² (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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17241396249 + ... + 17241396711.

Almost surely, 2^{7982766570240} is an apocalyptic number.

7982766570240 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 7982766570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375000780800).

7982766570240 is an abundant number, since it is smaller than the sum of its proper divisors (30767234991360).

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

7982766570240 is a wasteful number, since it uses less digits than its factorization.

7982766570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 7982766570240 in words is "seven trillion, nine hundred eighty-two billion, seven hundred sixty-six million, five hundred seventy thousand, two hundred forty".