5709517632 has 840 divisors, whose sum is σ = 22497288000. Its totient is φ = 1426553856.

The previous prime is 5709517621. The next prime is 5709517657. The reversal of 5709517632 is 2367159075.

5709517632 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 5 + 1 + 7 + 632 = 666.

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 119 ways as a sum of consecutive naturals, for example, 300500919 + ... + 300500937.

Almost surely, 2^5709517632 is an apocalyptic number.

5709517632 is a gapful number since it is divisible by the number (52) 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 5709517632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248644000).

5709517632 is an abundant number, since it is smaller than the sum of its proper divisors (16787770368).

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

5709517632 is a wasteful number, since it uses less digits than its factorization.

5709517632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5709517632 is about 75561.3501202831. The cubic root of 5709517632 is about 1787.3096745015.

The spelling of 5709517632 in words is "five billion, seven hundred nine million, five hundred seventeen thousand, six hundred thirty-two".