7395005829376 has 81 divisors (see below), whose sum is σ = 16226088296439. Its totient is φ = 3361148736000.

The previous prime is 7395005829353. The next prime is 7395005829467. The reversal of 7395005829376 is 6739285005937.

The square root of 7395005829376 is 2719376.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×7395005829376³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 478602451 + ... + 478617901.

Almost surely, 2^{7395005829376} is an apocalyptic number.

7395005829376 is the 2719376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7395005829376

7395005829376 is an abundant number, since it is smaller than the sum of its proper divisors (8831082467063).

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

7395005829376 is an frugal number, since it uses more digits than its factorization.

7395005829376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

Multiplying 7395005829376 by its sum of digits (64), we get a square (473280373080064 = 21755008²).

7395005829376 divided by its sum of digits (64) gives a square (115546966084 = 339922²).

The spelling of 7395005829376 in words is "seven trillion, three hundred ninety-five billion, five million, eight hundred twenty-nine thousand, three hundred seventy-six".