7364676480 has 512 divisors, whose sum is σ = 28024704000. Its totient is φ = 1643765760.

The previous prime is 7364676463. The next prime is 7364676481. The reversal of 7364676480 is 846764637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7364676481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34903575 + ... + 34903785.

It is an arithmetic number, because the mean of its divisors is an integer number (54735750).

Almost surely, 2^7364676480 is an apocalyptic number.

7364676480 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 7364676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012352000).

7364676480 is an abundant number, since it is smaller than the sum of its proper divisors (20660027520).

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

7364676480 is a wasteful number, since it uses less digits than its factorization.

7364676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 7364676480 is about 85817.6932805817. The cubic root of 7364676480 is about 1945.5895482003.

The spelling of 7364676480 in words is "seven billion, three hundred sixty-four million, six hundred seventy-six thousand, four hundred eighty".