7290758085345 has 128 divisors (see below), whose sum is σ = 15594862694400. Its totient is φ = 3157042811904.

The previous prime is 7290758085341. The next prime is 7290758085349. The reversal of 7290758085345 is 5435808570927.

7290758085345 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 7 + 580 + 8 + 5 + 3 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (7290758085341) and next prime (7290758085349).

It is not a de Polignac number, because 7290758085345 - 2² = 7290758085341 is a prime.

It is a super-4 number, since 4×7290758085345⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7290758085341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142950169 + ... + 143001161.

It is an arithmetic number, because the mean of its divisors is an integer number (121834864800).

Almost surely, 2^{7290758085345} is an apocalyptic number.

It is an amenable number.

7290758085345 is an abundant number, since it is smaller than the sum of its proper divisors (8304104609055).

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

7290758085345 is a wasteful number, since it uses less digits than its factorization.

7290758085345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58996 (or 58990 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 7290758085345 in words is "seven trillion, two hundred ninety billion, seven hundred fifty-eight million, eighty-five thousand, three hundred forty-five".