7645063140 has 648 divisors, whose sum is σ = 28917068544. Its totient is φ = 1630886400.

The previous prime is 7645063123. The next prime is 7645063141. The reversal of 7645063140 is 413605467.

It is a happy number.

7645063140 is a `hidden beast` number, since 7 + 6 + 4 + 506 + 3 + 140 = 666.

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 = 7645063095 and 7645063104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645063141) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 114105387 + ... + 114105453.

Almost surely, 2^7645063140 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 7645063140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458534272).

7645063140 is an abundant number, since it is smaller than the sum of its proper divisors (21272005404).

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

7645063140 is a wasteful number, since it uses less digits than its factorization.

7645063140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7645063140 is about 87436.0517178126. The cubic root of 7645063140 is about 1969.9733855389.

The spelling of 7645063140 in words is "seven billion, six hundred forty-five million, sixty-three thousand, one hundred forty".