8537919493824 has 672 divisors, whose sum is σ = 29671275379200. Its totient is φ = 2433225360384.

The previous prime is 8537919493813. The next prime is 8537919493849. The reversal of 8537919493824 is 4283949197358.

8537919493824 is a `hidden beast` number, since 8 + 5 + 379 + 1 + 94 + 93 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363109042 + ... + 2363112654.

It is an arithmetic number, because the mean of its divisors is an integer number (44153683600).

Almost surely, 2^{8537919493824} is an apocalyptic number.

8537919493824 is a gapful number since it is divisible by the number (84) 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 8537919493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835637689600).

8537919493824 is an abundant number, since it is smaller than the sum of its proper divisors (21133355885376).

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

8537919493824 is an equidigital number, since it uses as much as digits as its factorization.

8537919493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4068 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 8537919493824 in words is "eight trillion, five hundred thirty-seven billion, nine hundred nineteen million, four hundred ninety-three thousand, eight hundred twenty-four".