6890625000000 has 819 divisors, whose sum is σ = 28719177222567. Its totient is φ = 1575000000000.

The previous prime is 6890624999987. The next prime is 6890625000011. The reversal of 6890625000000 is 5260986.

The square root of 6890625000000 is 2625000.

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

6890625000000 is a `hidden beast` number, since 6 + 8 + 90 + 62 + 500 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3898666046016 + 2991958953984 = 1974504^2 + 1729728^2 .

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 116 ways as a sum of consecutive naturals, for example, 984374999997 + ... + 984375000003.

Almost surely, 2^{6890625000000} is an apocalyptic number.

6890625000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6890625000000 is the 2625000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890625000000

6890625000000 is an abundant number, since it is smaller than the sum of its proper divisors (21828552222567).

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

6890625000000 is an frugal number, since it uses more digits than its factorization.

6890625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 6890625000000 by its sum of digits (36), we get a square (248062500000000 = 15750000²).

6890625000000 divided by its sum of digits (36) gives a square (191406250000 = 437500²).

The spelling of 6890625000000 in words is "six trillion, eight hundred ninety billion, six hundred twenty-five million", and thus it is an aban number.