5930746560 has 224 divisors, whose sum is σ = 20981822400. Its totient is φ = 1577041920.

The previous prime is 5930746553. The next prime is 5930746567. The reversal of 5930746560 is 656470395.

5930746560 is a `hidden beast` number, since 59 + 30 + 7 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5930746553) and next prime (5930746567).

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

It is not an unprimeable number, because it can be changed into a prime (5930746567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3982296 + ... + 3983784.

It is an arithmetic number, because the mean of its divisors is an integer number (93668850).

Almost surely, 2^5930746560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5930746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490911200).

5930746560 is an abundant number, since it is smaller than the sum of its proper divisors (15051075840).

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

5930746560 is a wasteful number, since it uses less digits than its factorization.

5930746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5930746560 is about 77011.3404635967. The cubic root of 5930746560 is about 1810.1023069264.

The spelling of 5930746560 in words is "five billion, nine hundred thirty million, seven hundred forty-six thousand, five hundred sixty".