30736709640 has 1152 divisors, whose sum is σ = 136598192640. Its totient is φ = 5824659456.

The previous prime is 30736709603. The next prime is 30736709651. The reversal of 30736709640 is 4690763703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272006224 + ... + 272006336.

It is an arithmetic number, because the mean of its divisors is an integer number (118574820).

Almost surely, 2^30736709640 is an apocalyptic number.

30736709640 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 30736709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299096320).

30736709640 is an abundant number, since it is smaller than the sum of its proper divisors (105861483000).

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

30736709640 is a wasteful number, since it uses less digits than its factorization.

30736709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 30736709640 in words is "thirty billion, seven hundred thirty-six million, seven hundred nine thousand, six hundred forty".