7640175145680 has 2560 divisors, whose sum is σ = 34697939189760. Its totient is φ = 1499710464000.

The previous prime is 7640175145651. The next prime is 7640175145697. The reversal of 7640175145680 is 865415710467.

7640175145680 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 1 + 75 + 1 + 4 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36209360775 + ... + 36209360985.

It is an arithmetic number, because the mean of its divisors is an integer number (13553882496).

Almost surely, 2^{7640175145680} is an apocalyptic number.

7640175145680 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 7640175145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348969594880).

7640175145680 is an abundant number, since it is smaller than the sum of its proper divisors (27057764044080).

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

7640175145680 is a wasteful number, since it uses less digits than its factorization.

7640175145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7640175145680 in words is "seven trillion, six hundred forty billion, one hundred seventy-five million, one hundred forty-five thousand, six hundred eighty".