1675376640 has 576 divisors, whose sum is σ = 6899256000. Its totient is φ = 375717888.

The previous prime is 1675376629. The next prime is 1675376713. The reversal of 1675376640 is 466735761.

1675376640 is a `hidden beast` number, since 16 + 7 + 537 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31610854 + ... + 31610906.

It is an arithmetic number, because the mean of its divisors is an integer number (11977875).

Almost surely, 2^1675376640 is an apocalyptic number.

1675376640 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 1675376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628000).

1675376640 is an abundant number, since it is smaller than the sum of its proper divisors (5223879360).

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

1675376640 is an equidigital number, since it uses as much as digits as its factorization.

1675376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 1675376640 is about 40931.3649906768. The cubic root of 1675376640 is about 1187.6928771102.

The spelling of 1675376640 in words is "one billion, six hundred seventy-five million, three hundred seventy-six thousand, six hundred forty".