6474836484900 has 675 divisors, whose sum is σ = 24528058130499. Its totient is φ = 1477397698560.

The previous prime is 6474836484839. The next prime is 6474836484929. The reversal of 6474836484900 is 94846384746.

The square root of 6474836484900 is 2544570.

It is a perfect power (a square), and thus also a powerful number.

6474836484900 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 83 + 64 + 8 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1828190635236 + 4646645849664 = 1352106^2 + 2155608^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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 224 ways as a sum of consecutive naturals, for example, 11221553412 + ... + 11221553988.

Almost surely, 2^{6474836484900} is an apocalyptic number.

6474836484900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6474836484900 is the 2544570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6474836484900

6474836484900 is an abundant number, since it is smaller than the sum of its proper divisors (18053221645599).

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

6474836484900 is an frugal number, since it uses more digits than its factorization.

6474836484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 6474836484900 in words is "six trillion, four hundred seventy-four billion, eight hundred thirty-six million, four hundred eighty-four thousand, nine hundred".