4845997157760 has 1536 divisors, whose sum is σ = 19449891901440. Its totient is φ = 1100832768000.

The previous prime is 4845997157737. The next prime is 4845997157767. The reversal of 4845997157760 is 677517995484.

4845997157760 is a `hidden beast` number, since 4 + 8 + 45 + 9 + 9 + 7 + 1 + 577 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845997157767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15287057122 + ... + 15287057438.

It is an arithmetic number, because the mean of its divisors is an integer number (12662690040).

Almost surely, 2^{4845997157760} is an apocalyptic number.

4845997157760 is a gapful number since it is divisible by the number (40) 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 4845997157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724945950720).

4845997157760 is an abundant number, since it is smaller than the sum of its proper divisors (14603894743680).

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

4845997157760 is a wasteful number, since it uses less digits than its factorization.

4845997157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 4845997157760 in words is "four trillion, eight hundred forty-five billion, nine hundred ninety-seven million, one hundred fifty-seven thousand, seven hundred sixty".