690409784064 has 864 divisors, whose sum is σ = 2617260567040. Its totient is φ = 156784066560.

The previous prime is 690409784059. The next prime is 690409784101. The reversal of 690409784064 is 460487904096.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 690409783995 and 690409784013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160670364 + ... + 160674660.

Almost surely, 2^690409784064 is an apocalyptic number.

690409784064 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 690409784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308630283520).

690409784064 is an abundant number, since it is smaller than the sum of its proper divisors (1926850782976).

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

690409784064 is a wasteful number, since it uses less digits than its factorization.

690409784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 690409784064 in words is "six hundred ninety billion, four hundred nine million, seven hundred eighty-four thousand, sixty-four".