7746341649900 has 432 divisors, whose sum is σ = 27467729452800. Its totient is φ = 1675964183040.

The previous prime is 7746341649857. The next prime is 7746341649911. The reversal of 7746341649900 is 99461436477.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343248417 + ... + 343270983.

Almost surely, 2^{7746341649900} is an apocalyptic number.

7746341649900 is a gapful number since it is divisible by the number (70) 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 7746341649900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733864726400).

7746341649900 is an abundant number, since it is smaller than the sum of its proper divisors (19721387802900).

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

7746341649900 is a wasteful number, since it uses less digits than its factorization.

7746341649900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 7746341649900 in words is "seven trillion, seven hundred forty-six billion, three hundred forty-one million, six hundred forty-nine thousand, nine hundred".