93034690560 has 768 divisors, whose sum is σ = 385509196800. Its totient is φ = 20840841216.

The previous prime is 93034690517. The next prime is 93034690571. The reversal of 93034690560 is 6509643039.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×93034690560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 102573627 + ... + 102574533.

It is an arithmetic number, because the mean of its divisors is an integer number (501965100).

Almost surely, 2^93034690560 is an apocalyptic number.

93034690560 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 93034690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192754598400).

93034690560 is an abundant number, since it is smaller than the sum of its proper divisors (292474506240).

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

93034690560 is a wasteful number, since it uses less digits than its factorization.

93034690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 93034690560 in words is "ninety-three billion, thirty-four million, six hundred ninety thousand, five hundred sixty".