690127152000 has 1024 divisors, whose sum is σ = 2781213926400. Its totient is φ = 149065728000.

The previous prime is 690127151947. The next prime is 690127152017. The reversal of 690127152000 is 251721096.

It is a super-2 number, since 2×690127152000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199054267 + ... + 199057733.

It is an arithmetic number, because the mean of its divisors is an integer number (2716029225).

Almost surely, 2^690127152000 is an apocalyptic number.

690127152000 is a gapful number since it is divisible by the number (60) 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 690127152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390606963200).

690127152000 is an abundant number, since it is smaller than the sum of its proper divisors (2091086774400).

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

690127152000 is a wasteful number, since it uses less digits than its factorization.

690127152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 690127152000 its reverse (251721096), we get a palindrome (690378873096).

The spelling of 690127152000 in words is "six hundred ninety billion, one hundred twenty-seven million, one hundred fifty-two thousand".