9742537628460 has 1728 divisors, whose sum is σ = 40707428912640. Its totient is φ = 1916677002240.

The previous prime is 9742537628423. The next prime is 9742537628471. The reversal of 9742537628460 is 648267352479.

9742537628460 is a `hidden beast` number, since 9 + 7 + 425 + 3 + 76 + 2 + 84 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8319843675 + ... + 8319844845.

It is an arithmetic number, because the mean of its divisors is an integer number (23557539880).

Almost surely, 2^{9742537628460} is an apocalyptic number.

9742537628460 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 9742537628460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353714456320).

9742537628460 is an abundant number, since it is smaller than the sum of its proper divisors (30964891284180).

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

9742537628460 is a wasteful number, since it uses less digits than its factorization.

9742537628460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 9742537628460 in words is "nine trillion, seven hundred forty-two billion, five hundred thirty-seven million, six hundred twenty-eight thousand, four hundred sixty".