1387951680 has 224 divisors, whose sum is σ = 4562490240. Its totient is φ = 357253120.

The previous prime is 1387951667. The next prime is 1387951717. The reversal of 1387951680 is 861597831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045342 + ... + 7045538.

It is an arithmetic number, because the mean of its divisors is an integer number (20368260).

Almost surely, 2^1387951680 is an apocalyptic number.

1387951680 is a gapful number since it is divisible by the number (10) 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 1387951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281245120).

1387951680 is an abundant number, since it is smaller than the sum of its proper divisors (3174538560).

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

1387951680 is a wasteful number, since it uses less digits than its factorization.

1387951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1387951680 is about 37255.2235263728. The cubic root of 1387951680 is about 1115.4705675962.

The spelling of 1387951680 in words is "one billion, three hundred eighty-seven million, nine hundred fifty-one thousand, six hundred eighty".