7149345780976 has 240 divisors, whose sum is σ = 17070343303104. Its totient is φ = 2839135850496.

The previous prime is 7149345780959. The next prime is 7149345780977. The reversal of 7149345780976 is 6790875439417.

It is a super-2 number, since 2×7149345780976² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7149345780977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510770010 + ... + 510784006.

Almost surely, 2^{7149345780976} 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 7149345780976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535171651552).

7149345780976 is an abundant number, since it is smaller than the sum of its proper divisors (9920997522128).

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

7149345780976 is a wasteful number, since it uses less digits than its factorization.

7149345780976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328 (or 14299 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 70.

The spelling of 7149345780976 in words is "seven trillion, one hundred forty-nine billion, three hundred forty-five million, seven hundred eighty thousand, nine hundred seventy-six".