7345751640 has 128 divisors (see below), whose sum is σ = 22273574400. Its totient is φ = 1937960960.

The previous prime is 7345751627. The next prime is 7345751659. The reversal of 7345751640 is 461575437.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7345751592 and 7345751601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7906696 + ... + 7907624.

It is an arithmetic number, because the mean of its divisors is an integer number (174012300).

Almost surely, 2^7345751640 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 7345751640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136787200).

7345751640 is an abundant number, since it is smaller than the sum of its proper divisors (14927822760).

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

7345751640 is a wasteful number, since it uses less digits than its factorization.

7345751640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 7345751640 is about 85707.3604773826. The cubic root of 7345751640 is about 1943.9216064342.

The spelling of 7345751640 in words is "seven billion, three hundred forty-five million, seven hundred fifty-one thousand, six hundred forty".