30756407321640 has 512 divisors, whose sum is σ = 123992310435840. Its totient is φ = 5894266060800.

The previous prime is 30756407321621. The next prime is 30756407321771. The reversal of 30756407321640 is 4612370465703.

It is a self number, because there is not a number n which added to its sum of digits gives 30756407321640.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140551192 + ... + 140769848.

It is an arithmetic number, because the mean of its divisors is an integer number (242172481320).

Almost surely, 2^{30756407321640} is an apocalyptic number.

30756407321640 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 30756407321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61996155217920).

30756407321640 is an abundant number, since it is smaller than the sum of its proper divisors (93235903114200).

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

30756407321640 is a wasteful number, since it uses less digits than its factorization.

30756407321640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219873 (or 219869 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 30756407321640 in words is "thirty trillion, seven hundred fifty-six billion, four hundred seven million, three hundred twenty-one thousand, six hundred forty".