6425670762000 has 2880 divisors, whose sum is σ = 29273894208000. Its totient is φ = 1346538816000.

The previous prime is 6425670761989. The next prime is 6425670762013. The reversal of 6425670762000 is 2670765246.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6425670762000 is a `hidden beast` number, since 64 + 2 + 567 + 0 + 7 + 6 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 207279701985 + ... + 207279702015.

It is an arithmetic number, because the mean of its divisors is an integer number (10164546600).

Almost surely, 2^{6425670762000} is an apocalyptic number.

6425670762000 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 6425670762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636947104000).

6425670762000 is an abundant number, since it is smaller than the sum of its proper divisors (22848223446000).

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

6425670762000 is a wasteful number, since it uses less digits than its factorization.

6425670762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 6425670762000 in words is "six trillion, four hundred twenty-five billion, six hundred seventy million, seven hundred sixty-two thousand".