93783536640 has 528 divisors, whose sum is σ = 345026730048. Its totient is φ = 24413405184.

The previous prime is 93783536603. The next prime is 93783536669. The reversal of 93783536640 is 4663538739.

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 47 ways as a sum of consecutive naturals, for example, 53498004 + ... + 53499756.

It is an arithmetic number, because the mean of its divisors is an integer number (653459716).

Almost surely, 2^93783536640 is an apocalyptic number.

93783536640 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 93783536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172513365024).

93783536640 is an abundant number, since it is smaller than the sum of its proper divisors (251243193408).

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

93783536640 is a wasteful number, since it uses less digits than its factorization.

93783536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 93783536640 in words is "ninety-three billion, seven hundred eighty-three million, five hundred thirty-six thousand, six hundred forty".