7735400640 has 448 divisors, whose sum is σ = 29992320000. Its totient is φ = 1861263360.

The previous prime is 7735400633. The next prime is 7735400663. The reversal of 7735400640 is 460045377.

7735400640 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 4 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×7735400640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7735400595 and 7735400604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912756 + ... + 18913164.

Almost surely, 2^7735400640 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 7735400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160000).

7735400640 is an abundant number, since it is smaller than the sum of its proper divisors (22256919360).

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

7735400640 is a wasteful number, since it uses less digits than its factorization.

7735400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7735400640 is about 87951.1264282613. The cubic root of 7735400640 is about 1977.7023853580.

The spelling of 7735400640 in words is "seven billion, seven hundred thirty-five million, four hundred thousand, six hundred forty".