379166624640 has 1152 divisors, whose sum is σ = 1459976918400. Its totient is φ = 93953986560.

The previous prime is 379166624611. The next prime is 379166624647. The reversal of 379166624640 is 46426661973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (379166624647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6426552931 + ... + 6426552989.

It is an arithmetic number, because the mean of its divisors is an integer number (1267341075).

Almost surely, 2^379166624640 is an apocalyptic number.

379166624640 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 379166624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729988459200).

379166624640 is an abundant number, since it is smaller than the sum of its proper divisors (1080810293760).

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

379166624640 is an equidigital number, since it uses as much as digits as its factorization.

379166624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 379166624640 in words is "three hundred seventy-nine billion, one hundred sixty-six million, six hundred twenty-four thousand, six hundred forty".