5862964900 has 243 divisors, whose sum is σ = 15023981763. Its totient is φ = 1984694400.

The previous prime is 5862964883. The next prime is 5862964949. The reversal of 5862964900 is 94692685.

The square root of 5862964900 is 76570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1511187876 + 4351777024 = 38874^2 + 65968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 189127885 + ... + 189127915.

Almost surely, 2^5862964900 is an apocalyptic number.

5862964900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5862964900 is the 76570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5862964900

5862964900 is an abundant number, since it is smaller than the sum of its proper divisors (9161016863).

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

5862964900 is a wasteful number, since it uses less digits than its factorization.

5862964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 5862964900 is about 1803.1800677524.

Multiplying 5862964900 by its sum of digits (49), we get a square (287285280100 = 535990²).

The spelling of 5862964900 in words is "five billion, eight hundred sixty-two million, nine hundred sixty-four thousand, nine hundred".