376546779463680 has 3840 divisors, whose sum is σ = 1675035648000000. Its totient is φ = 77908861255680.

The previous prime is 376546779463643. The next prime is 376546779463697. The reversal of 376546779463680 is 86364977645673.

376546779463680 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 4 + 6 + 7 + 79 + 463 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×376546779463680³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 376546779463680.

It is a congruent number.

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, 4766414929881 + ... + 4766414929959.

It is an arithmetic number, because the mean of its divisors is an integer number (436207200000).

Almost surely, 2^{376546779463680} is an apocalyptic number.

376546779463680 is a gapful number since it is divisible by the number (30) 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 376546779463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837517824000000).

376546779463680 is an abundant number, since it is smaller than the sum of its proper divisors (1298488868536320).

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

376546779463680 is an frugal number, since it uses more digits than its factorization.

376546779463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 23044331520, while the sum is 81.

The spelling of 376546779463680 in words is "three hundred seventy-six trillion, five hundred forty-six billion, seven hundred seventy-nine million, four hundred sixty-three thousand, six hundred eighty".