7297879680 has 1440 divisors, whose sum is σ = 34759638540. Its totient is φ = 1449197568.

The previous prime is 7297879657. The next prime is 7297879717. The reversal of 7297879680 is 869787927.

It can be written as a sum of positive squares in 6 ways, for example, as 1506060864 + 5791818816 = 38808^2 + 76104^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 429287032 + ... + 429287048.

Almost surely, 2^7297879680 is an apocalyptic number.

7297879680 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 7297879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379819270).

7297879680 is an abundant number, since it is smaller than the sum of its proper divisors (27461758860).

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

7297879680 is a wasteful number, since it uses less digits than its factorization.

7297879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The square root of 7297879680 is about 85427.6283177755. The cubic root of 7297879680 is about 1939.6895808281.

The spelling of 7297879680 in words is "seven billion, two hundred ninety-seven million, eight hundred seventy-nine thousand, six hundred eighty".