690095718400 has 459 divisors, whose sum is σ = 1913576700553. Its totient is φ = 246690611200.

The previous prime is 690095718383. The next prime is 690095718437. The reversal of 690095718400 is 4817590096.

The square root of 690095718400 is 830720.

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

It can be written as a sum of positive squares in only one way, i.e., 248434458624 + 441661259776 = 498432^2 + 664576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11696537571 + ... + 11696537629.

Almost surely, 2^690095718400 is an apocalyptic number.

690095718400 is the 830720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690095718400

690095718400 is an abundant number, since it is smaller than the sum of its proper divisors (1223480982153).

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

690095718400 is an frugal number, since it uses more digits than its factorization.

690095718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 690095718400 by its sum of digits (49), we get a square (33814690201600 = 5815040²).

The spelling of 690095718400 in words is "six hundred ninety billion, ninety-five million, seven hundred eighteen thousand, four hundred".