6649157970000 has 2400 divisors, whose sum is σ = 29994895560960. Its totient is φ = 1397440512000.

The previous prime is 6649157969947. The next prime is 6649157970043. The reversal of 6649157970000 is 797519466.

6649157970000 is a `hidden beast` number, since 6 + 64 + 9 + 1 + 579 + 7 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6649157970000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25872209872 + ... + 25872210128.

Almost surely, 2^{6649157970000} is an apocalyptic number.

6649157970000 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 6649157970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997447780480).

6649157970000 is an abundant number, since it is smaller than the sum of its proper divisors (23345737590960).

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

6649157970000 is an equidigital number, since it uses as much as digits as its factorization.

6649157970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 6649157970000 in words is "six trillion, six hundred forty-nine billion, one hundred fifty-seven million, nine hundred seventy thousand".