376828784640 has 936 divisors, whose sum is σ = 1658001644208. Its totient is φ = 78281441280.

The previous prime is 376828784603. The next prime is 376828784659. The reversal of 376828784640 is 46487828673.

376828784640 is a `hidden beast` number, since 37 + 68 + 2 + 87 + 8 + 464 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 99346584 + ... + 99350376.

It is an arithmetic number, because the mean of its divisors is an integer number (1771369278).

Almost surely, 2^376828784640 is an apocalyptic number.

376828784640 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 376828784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829000822104).

376828784640 is an abundant number, since it is smaller than the sum of its proper divisors (1281172859568).

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

376828784640 is a wasteful number, since it uses less digits than its factorization.

376828784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 376828784640 in words is "three hundred seventy-six billion, eight hundred twenty-eight million, seven hundred eighty-four thousand, six hundred forty".