6474835980900 has 432 divisors, whose sum is σ = 24749540233600. Its totient is φ = 1382861445120.

The previous prime is 6474835980883. The next prime is 6474835980917. The reversal of 6474835980900 is 90895384746.

6474835980900 is a `hidden beast` number, since 6 + 474 + 83 + 5 + 9 + 80 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6474835980883) and next prime (6474835980917).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8367606 + ... + 9108594.

Almost surely, 2^{6474835980900} is an apocalyptic number.

6474835980900 is a gapful number since it is divisible by the number (60) 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 6474835980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374770116800).

6474835980900 is an abundant number, since it is smaller than the sum of its proper divisors (18274704252700).

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

6474835980900 is a wasteful number, since it uses less digits than its factorization.

6474835980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741108 (or 741098 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 6474835980900 in words is "six trillion, four hundred seventy-four billion, eight hundred thirty-five million, nine hundred eighty thousand, nine hundred".