7364299680 has 336 divisors, whose sum is σ = 27466477920. Its totient is φ = 1859894784.

The previous prime is 7364299651. The next prime is 7364299687. The reversal of 7364299680 is 869924637.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (7364299687) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2214499 + ... + 2217821.

It is an arithmetic number, because the mean of its divisors is an integer number (81745470).

Almost surely, 2^7364299680 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 7364299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733238960).

7364299680 is an abundant number, since it is smaller than the sum of its proper divisors (20102178240).

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

7364299680 is a wasteful number, since it uses less digits than its factorization.

7364299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7364299680 is about 85815.4979010202. The cubic root of 7364299680 is about 1945.5563668086.

The spelling of 7364299680 in words is "seven billion, three hundred sixty-four million, two hundred ninety-nine thousand, six hundred eighty".