76554649900000 has 288 divisors, whose sum is σ = 209963848641120. Its totient is φ = 27303690240000.

The previous prime is 76554649899989. The next prime is 76554649900009. The reversal of 76554649900000 is 994645567.

It is a happy number.

It is a super-2 number, since 2×76554649900000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76554649900009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31114944 + ... + 33485056.

It is an arithmetic number, because the mean of its divisors is an integer number (729041141115).

Almost surely, 2^{76554649900000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76554649900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104981924320560).

76554649900000 is an abundant number, since it is smaller than the sum of its proper divisors (133409198741120).

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

76554649900000 is a wasteful number, since it uses less digits than its factorization.

76554649900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370184 (or 2370156 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 76554649900000 in words is "seventy-six trillion, five hundred fifty-four billion, six hundred forty-nine million, nine hundred thousand".