6625766906640 has 960 divisors, whose sum is σ = 27129939572736. Its totient is φ = 1471325700096.

The previous prime is 6625766906611. The next prime is 6625766906663. The reversal of 6625766906640 is 466096675266.

It is a happy number.

It is a super-2 number, since 2×6625766906640² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 1129324987 + ... + 1129330853.

Almost surely, 2^{6625766906640} is an apocalyptic number.

6625766906640 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 6625766906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564969786368).

6625766906640 is an abundant number, since it is smaller than the sum of its proper divisors (20504172666096).

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

6625766906640 is a wasteful number, since it uses less digits than its factorization.

6625766906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 6625766906640 in words is "six trillion, six hundred twenty-five billion, seven hundred sixty-six million, nine hundred six thousand, six hundred forty".