1397760672 has 384 divisors, whose sum is σ = 4964198400. Its totient is φ = 340193280.

The previous prime is 1397760653. The next prime is 1397760673. The reversal of 1397760672 is 2760677931.

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

It is not an unprimeable number, because it can be changed into a prime (1397760673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6157423 + ... + 6157649.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2^1397760672 is an apocalyptic number.

1397760672 is a gapful number since it is divisible by the number (12) 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 1397760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482099200).

1397760672 is an abundant number, since it is smaller than the sum of its proper divisors (3566437728).

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

1397760672 is a wasteful number, since it uses less digits than its factorization.

1397760672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 1397760672 is about 37386.6376129226. The cubic root of 1397760672 is about 1118.0921686723.

The spelling of 1397760672 in words is "one billion, three hundred ninety-seven million, seven hundred sixty thousand, six hundred seventy-two".