7446487680 has 256 divisors, whose sum is σ = 27225676800. Its totient is φ = 1921536000.

The previous prime is 7446487667. The next prime is 7446487687. The reversal of 7446487680 is 867846447.

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

It is not an unprimeable number, because it can be changed into a prime (7446487687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528730 + ... + 542630.

It is an arithmetic number, because the mean of its divisors is an integer number (106350300).

Almost surely, 2^7446487680 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 7446487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612838400).

7446487680 is an abundant number, since it is smaller than the sum of its proper divisors (19779189120).

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

7446487680 is a wasteful number, since it uses less digits than its factorization.

7446487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 7446487680 is about 86293.0337860479. The cubic root of 7446487680 is about 1952.7672899523.

The spelling of 7446487680 in words is "seven billion, four hundred forty-six million, four hundred eighty-seven thousand, six hundred eighty".