7366839840 has 480 divisors, whose sum is σ = 28502092080. Its totient is φ = 1783627776.

The previous prime is 7366839839. The next prime is 7366839859. The reversal of 7366839840 is 489386637.

It can be written as a sum of positive squares in 8 ways, for example, as 5409308304 + 1957531536 = 73548^2 + 44244^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7366839840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6388704 + ... + 6389856.

Almost surely, 2^7366839840 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 7366839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251046040).

7366839840 is an abundant number, since it is smaller than the sum of its proper divisors (21135252240).

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

7366839840 is a wasteful number, since it uses less digits than its factorization.

7366839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 7366839840 is about 85830.2967488753. The cubic root of 7366839840 is about 1945.7800339853.

The spelling of 7366839840 in words is "seven billion, three hundred sixty-six million, eight hundred thirty-nine thousand, eight hundred forty".