7830100212480 has 1944 divisors, whose sum is σ = 34374937418640. Its totient is φ = 1640008581120.

The previous prime is 7830100212469. The next prime is 7830100212503. The reversal of 7830100212480 is 842120010387.

7830100212480 is a `hidden beast` number, since 78 + 3 + 0 + 100 + 2 + 1 + 2 + 480 = 666.

It is a super-2 number, since 2×7830100212480² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20128792126 + ... + 20128792514.

Almost surely, 2^{7830100212480} is an apocalyptic number.

7830100212480 is a gapful number since it is divisible by the number (70) 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 7830100212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187468709320).

7830100212480 is an abundant number, since it is smaller than the sum of its proper divisors (26544837206160).

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

7830100212480 is a wasteful number, since it uses less digits than its factorization.

7830100212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 7830100212480 in words is "seven trillion, eight hundred thirty billion, one hundred million, two hundred twelve thousand, four hundred eighty".