7407744840 has 320 divisors, whose sum is σ = 26016035760. Its totient is φ = 1888634880.

The previous prime is 7407744811. The next prime is 7407744853. The reversal of 7407744840 is 484477047.

It can be written as a sum of positive squares in 8 ways, for example, as 525051396 + 6882693444 = 22914^2 + 82962^2 .

It is a super-2 number, since 2×7407744840² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 7312174 + ... + 7313186.

Almost surely, 2^7407744840 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 7407744840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008017880).

7407744840 is an abundant number, since it is smaller than the sum of its proper divisors (18608290920).

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

7407744840 is a wasteful number, since it uses less digits than its factorization.

7407744840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The square root of 7407744840 is about 86068.2568662803. The cubic root of 7407744840 is about 1949.3747581257.

The spelling of 7407744840 in words is "seven billion, four hundred seven million, seven hundred forty-four thousand, eight hundred forty".