76066665746400 has 3456 divisors, whose sum is σ = 339044299776000. Its totient is φ = 15999079219200.

The previous prime is 76066665746389. The next prime is 76066665746429. The reversal of 76066665746400 is 464756666067.

It is a super-2 number, since 2×76066665746400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 207266119017 + ... + 207266119383.

It is an arithmetic number, because the mean of its divisors is an integer number (98103096000).

Almost surely, 2^{76066665746400} is an apocalyptic number.

76066665746400 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 76066665746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169522149888000).

76066665746400 is an abundant number, since it is smaller than the sum of its proper divisors (262977634029600).

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

76066665746400 is a wasteful number, since it uses less digits than its factorization.

76066665746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 76066665746400 in words is "seventy-six trillion, sixty-six billion, six hundred sixty-five million, seven hundred forty-six thousand, four hundred".