30747354960 has 960 divisors, whose sum is σ = 126369054720. Its totient is φ = 6131220480.

The previous prime is 30747354959. The next prime is 30747354961. The reversal of 30747354960 is 6945374703.

It is an interprime number because it is at equal distance from previous prime (30747354959) and next prime (30747354961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30747354961) 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, 159312624 + ... + 159312816.

It is an arithmetic number, because the mean of its divisors is an integer number (131634432).

Almost surely, 2^30747354960 is an apocalyptic number.

30747354960 is a gapful number since it is divisible by the number (30) 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 30747354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63184527360).

30747354960 is an abundant number, since it is smaller than the sum of its proper divisors (95621699760).

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

30747354960 is a wasteful number, since it uses less digits than its factorization.

30747354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 30747354960 in words is "thirty billion, seven hundred forty-seven million, three hundred fifty-four thousand, nine hundred sixty".