35689631616 has 384 divisors, whose sum is σ = 113210697600. Its totient is φ = 11160115200.

The previous prime is 35689631611. The next prime is 35689631629. The reversal of 35689631616 is 61613698653.

35689631616 is a `hidden beast` number, since 3 + 568 + 9 + 63 + 1 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4199040) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35689631611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77417626 + ... + 77418086.

It is an arithmetic number, because the mean of its divisors is an integer number (294819525).

Almost surely, 2^35689631616 is an apocalyptic number.

35689631616 is a gapful number since it is divisible by the number (36) 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 35689631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56605348800).

35689631616 is an abundant number, since it is smaller than the sum of its proper divisors (77521065984).

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

35689631616 is a wasteful number, since it uses less digits than its factorization.

35689631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 616 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 35689631616 in words is "thirty-five billion, six hundred eighty-nine million, six hundred thirty-one thousand, six hundred sixteen".