7645340651520 has 1664 divisors, whose sum is σ = 30542548377600. Its totient is φ = 1614820147200.

The previous prime is 7645340651491. The next prime is 7645340651551. The reversal of 7645340651520 is 251560435467.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7645340651520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28211588985 + ... + 28211589255.

Almost surely, 2^{7645340651520} 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 7645340651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15271274188800).

7645340651520 is an abundant number, since it is smaller than the sum of its proper divisors (22897207726080).

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

7645340651520 is a wasteful number, since it uses less digits than its factorization.

7645340651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 7645340651520 in words is "seven trillion, six hundred forty-five billion, three hundred forty million, six hundred fifty-one thousand, five hundred twenty".