387097626240 has 640 divisors, whose sum is σ = 1494381208320. Its totient is φ = 94924431360.

The previous prime is 387097626199. The next prime is 387097626283. The reversal of 387097626240 is 42626790783.

387097626240 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 9 + 7 + 6 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206892505 + ... + 206894375.

It is an arithmetic number, because the mean of its divisors is an integer number (2334970638).

Almost surely, 2^387097626240 is an apocalyptic number.

387097626240 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 387097626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747190604160).

387097626240 is an abundant number, since it is smaller than the sum of its proper divisors (1107283582080).

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

387097626240 is a wasteful number, since it uses less digits than its factorization.

387097626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 387097626240 in words is "three hundred eighty-seven billion, ninety-seven million, six hundred twenty-six thousand, two hundred forty".