7359765874560 has 1536 divisors, whose sum is σ = 29625539328000. Its totient is φ = 1724405760000.

The previous prime is 7359765874547. The next prime is 7359765874567. The reversal of 7359765874560 is 654785679537.

It is a happy number.

7359765874560 is a `hidden beast` number, since 7 + 3 + 5 + 9 + 7 + 6 + 58 + 7 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7359765874567) 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, 9799954185 + ... + 9799954935.

It is an arithmetic number, because the mean of its divisors is an integer number (19287460500).

Almost surely, 2^{7359765874560} 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 7359765874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812769664000).

7359765874560 is an abundant number, since it is smaller than the sum of its proper divisors (22265773453440).

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

7359765874560 is a wasteful number, since it uses less digits than its factorization.

7359765874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 7359765874560 in words is "seven trillion, three hundred fifty-nine billion, seven hundred sixty-five million, eight hundred seventy-four thousand, five hundred sixty".