378763257600 has 3240 divisors, whose sum is σ = 1859963538048. Its totient is φ = 75246796800.

The previous prime is 378763257589. The next prime is 378763257641. The reversal of 378763257600 is 6752367873.

378763257600 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 6 + 3 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 10236844782 + ... + 10236844818.

Almost surely, 2^378763257600 is an apocalyptic number.

378763257600 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 378763257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929981769024).

378763257600 is an abundant number, since it is smaller than the sum of its proper divisors (1481200280448).

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

378763257600 is a wasteful number, since it uses less digits than its factorization.

378763257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 378763257600 in words is "three hundred seventy-eight billion, seven hundred sixty-three million, two hundred fifty-seven thousand, six hundred".