7251977616 has 80 divisors (see below), whose sum is σ = 20240787840. Its totient is φ = 2224143360.

The previous prime is 7251977611. The next prime is 7251977633. The reversal of 7251977616 is 6167791527.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7251977611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175380 + ... + 212748.

It is an arithmetic number, because the mean of its divisors is an integer number (253009848).

Almost surely, 2^7251977616 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 7251977616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120393920).

7251977616 is an abundant number, since it is smaller than the sum of its proper divisors (12988810224).

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

7251977616 is a wasteful number, since it uses less digits than its factorization.

7251977616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37704 (or 37698 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 51.

The square root of 7251977616 is about 85158.5439988261. The cubic root of 7251977616 is about 1935.6142838000.

The spelling of 7251977616 in words is "seven billion, two hundred fifty-one million, nine hundred seventy-seven thousand, six hundred sixteen".