7364957680 has 40 divisors (see below), whose sum is σ = 17675904384. Its totient is φ = 2850950400.

The previous prime is 7364957641. The next prime is 7364957683. The reversal of 7364957680 is 867594637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7364957683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1482391 + ... + 1487350.

Almost surely, 2^7364957680 is an apocalyptic number.

It is an amenable number.

7364957680 is an abundant number, since it is smaller than the sum of its proper divisors (10310946704).

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

7364957680 is a wasteful number, since it uses less digits than its factorization.

7364957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969785 (or 2969779 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The square root of 7364957680 is about 85819.3316217273. The cubic root of 7364957680 is about 1945.6143102212.

It can be divided in two parts, 7364957 and 680, that added together give a palindrome (7365637).

The spelling of 7364957680 in words is "seven billion, three hundred sixty-four million, nine hundred fifty-seven thousand, six hundred eighty".