90686537604 has 288 divisors, whose sum is σ = 275161251456. Its totient is φ = 25866086400.

The previous prime is 90686537593. The next prime is 90686537639. The reversal of 90686537604 is 40673568609.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 14389254 + ... + 14395554.

It is an arithmetic number, because the mean of its divisors is an integer number (955421012).

Almost surely, 2^90686537604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90686537604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137580625728).

90686537604 is an abundant number, since it is smaller than the sum of its proper divisors (184474713852).

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

90686537604 is a wasteful number, since it uses less digits than its factorization.

90686537604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 90686537604 in words is "ninety billion, six hundred eighty-six million, five hundred thirty-seven thousand, six hundred four".