7645397760 has 1728 divisors, whose sum is σ = 38781711360. Its totient is φ = 1380188160.

The previous prime is 7645397759. The next prime is 7645397761. The reversal of 7645397760 is 677935467.

It is an interprime number because it is at equal distance from previous prime (7645397759) and next prime (7645397761).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×7645397760² (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 a junction number, because it is equal to n+sod(n) for n = 7645397697 and 7645397706.

It is not an unprimeable number, because it can be changed into a prime (7645397761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449729272 + ... + 449729288.

It is an arithmetic number, because the mean of its divisors is an integer number (22443120).

Almost surely, 2^7645397760 is an apocalyptic number.

7645397760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7645397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390855680).

7645397760 is an abundant number, since it is smaller than the sum of its proper divisors (31136313600).

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

7645397760 is a wasteful number, since it uses less digits than its factorization.

7645397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 7645397760 is about 87437.9652096273. The cubic root of 7645397760 is about 1970.0021266522.

The spelling of 7645397760 in words is "seven billion, six hundred forty-five million, three hundred ninety-seven thousand, seven hundred sixty".