90506397696 has 384 divisors, whose sum is σ = 292707717120. Its totient is φ = 24492441600.

The previous prime is 90506397679. The next prime is 90506397701. The reversal of 90506397696 is 69679360509.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27234691 + ... + 27238013.

It is an arithmetic number, because the mean of its divisors is an integer number (762259680).

Almost surely, 2^90506397696 is an apocalyptic number.

90506397696 is a gapful number since it is divisible by the number (96) 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 90506397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146353858560).

90506397696 is an abundant number, since it is smaller than the sum of its proper divisors (202201319424).

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

90506397696 is a wasteful number, since it uses less digits than its factorization.

90506397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 60.

The spelling of 90506397696 in words is "ninety billion, five hundred six million, three hundred ninety-seven thousand, six hundred ninety-six".