90724850496 has 448 divisors, whose sum is σ = 317280706560. Its totient is φ = 24882923520.

The previous prime is 90724850467. The next prime is 90724850501. The reversal of 90724850496 is 69405842709.

90724850496 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 48 + 504 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×90724850496³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30129631 + ... + 30132641.

Almost surely, 2^90724850496 is an apocalyptic number.

90724850496 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 90724850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158640353280).

90724850496 is an abundant number, since it is smaller than the sum of its proper divisors (226555856064).

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

90724850496 is a wasteful number, since it uses less digits than its factorization.

90724850496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90724850496 in words is "ninety billion, seven hundred twenty-four million, eight hundred fifty thousand, four hundred ninety-six".