7364305872 has 300 divisors, whose sum is σ = 25961260000. Its totient is φ = 1908973440.

The previous prime is 7364305859. The next prime is 7364305901. The reversal of 7364305872 is 2785034637.

7364305872 is a `hidden beast` number, since 7 + 3 + 64 + 3 + 0 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14757879 + ... + 14758377.

Almost surely, 2^7364305872 is an apocalyptic number.

7364305872 is a gapful number since it is divisible by the number (72) 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 7364305872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980630000).

7364305872 is an abundant number, since it is smaller than the sum of its proper divisors (18596954128).

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

7364305872 is a wasteful number, since it uses less digits than its factorization.

7364305872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7364305872 is about 85815.5339784121. The cubic root of 7364305872 is about 1945.5569120916.

It can be divided in two parts, 7364 and 305872, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 7364305872 in words is "seven billion, three hundred sixty-four million, three hundred five thousand, eight hundred seventy-two".