30746701440 has 512 divisors, whose sum is σ = 134030937600. Its totient is φ = 6486884352.

The previous prime is 30746701423. The next prime is 30746701457. The reversal of 30746701440 is 4410764703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30746701423) and next prime (30746701457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30746701395 and 30746701404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562704 + ... + 1582256.

It is an arithmetic number, because the mean of its divisors is an integer number (261779175).

Almost surely, 2^30746701440 is an apocalyptic number.

30746701440 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 30746701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67015468800).

30746701440 is an abundant number, since it is smaller than the sum of its proper divisors (103284236160).

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

30746701440 is a wasteful number, since it uses less digits than its factorization.

30746701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19601 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 30746701440 in words is "thirty billion, seven hundred forty-six million, seven hundred one thousand, four hundred forty".