30979428480 has 1536 divisors, whose sum is σ = 149700096000. Its totient is φ = 5912248320.

The previous prime is 30979428461. The next prime is 30979428499. The reversal of 30979428480 is 8482497903.

30979428480 is a `hidden beast` number, since 30 + 97 + 9 + 42 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (30979428461) and next prime (30979428499).

It is a super-2 number, since 2×30979428480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675421 + ... + 155675619.

It is an arithmetic number, because the mean of its divisors is an integer number (97461000).

Almost surely, 2^30979428480 is an apocalyptic number.

30979428480 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 30979428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048000).

30979428480 is an abundant number, since it is smaller than the sum of its proper divisors (118720667520).

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

30979428480 is a wasteful number, since it uses less digits than its factorization.

30979428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30979428480 in words is "thirty billion, nine hundred seventy-nine million, four hundred twenty-eight thousand, four hundred eighty".