690142464 has 288 divisors, whose sum is σ = 2310537600. Its totient is φ = 201277440.

The previous prime is 690142459. The next prime is 690142477. The reversal of 690142464 is 464241096.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 2204772 + ... + 2205084.

It is an arithmetic number, because the mean of its divisors is an integer number (8022700).

Almost surely, 2^690142464 is an apocalyptic number.

690142464 is a gapful number since it is divisible by the number (64) 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 690142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155268800).

690142464 is an abundant number, since it is smaller than the sum of its proper divisors (1620395136).

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

690142464 is a wasteful number, since it uses less digits than its factorization.

690142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 690142464 is about 26270.5626890632. The cubic root of 690142464 is about 883.7164040506.

The spelling of 690142464 in words is "six hundred ninety million, one hundred forty-two thousand, four hundred sixty-four".