90627264000 has 2160 divisors, whose sum is σ = 432812231280. Its totient is φ = 18114969600.

The previous prime is 90627263957. The next prime is 90627264041. The reversal of 90627264000 is 46272609.

It is a happy number.

90627264000 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 7 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4769855991 + ... + 4769856009.

It is an arithmetic number, because the mean of its divisors is an integer number (200376033).

Almost surely, 2^90627264000 is an apocalyptic number.

90627264000 is a gapful number since it is divisible by the number (90) 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 90627264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216406115640).

90627264000 is an abundant number, since it is smaller than the sum of its proper divisors (342184967280).

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

90627264000 is a wasteful number, since it uses less digits than its factorization.

90627264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 90 and 627264000, that multiplied together give a square (56453760000 = 237600²).

The spelling of 90627264000 in words is "ninety billion, six hundred twenty-seven million, two hundred sixty-four thousand".