373782076416 has 880 divisors, whose sum is σ = 1387364239360. Its totient is φ = 97820835840.

The previous prime is 373782076411. The next prime is 373782076433. The reversal of 373782076416 is 614670287373.

373782076416 is a `hidden beast` number, since 3 + 7 + 378 + 207 + 64 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373782076411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 341977566 + ... + 341978658.

It is an arithmetic number, because the mean of its divisors is an integer number (1576550272).

Almost surely, 2^373782076416 is an apocalyptic number.

373782076416 is a gapful number since it is divisible by the number (36) 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 373782076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693682119680).

373782076416 is an abundant number, since it is smaller than the sum of its proper divisors (1013582162944).

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

373782076416 is a wasteful number, since it uses less digits than its factorization.

373782076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 373782076416 in words is "three hundred seventy-three billion, seven hundred eighty-two million, seventy-six thousand, four hundred sixteen".