387557784167840 has 768 divisors, whose sum is σ = 1134697616769024. Its totient is φ = 123077425152000.

The previous prime is 387557784167831. The next prime is 387557784167849. The reversal of 387557784167840 is 48761487755783.

It is an interprime number because it is at equal distance from previous prime (387557784167831) and next prime (387557784167849).

It is a super-2 number, since 2×387557784167840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is not an unprimeable number, because it can be changed into a prime (387557784167849) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63089331809 + ... + 63089337951.

It is an arithmetic number, because the mean of its divisors is an integer number (1477470855168).

Almost surely, 2^{387557784167840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387557784167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567348808384512).

387557784167840 is an abundant number, since it is smaller than the sum of its proper divisors (747139832601184).

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

387557784167840 is a wasteful number, since it uses less digits than its factorization.

387557784167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 8851046400, while the sum is 80.

The spelling of 387557784167840 in words is "three hundred eighty-seven trillion, five hundred fifty-seven billion, seven hundred eighty-four million, one hundred sixty-seven thousand, eight hundred forty".