7672574300160 has 1248 divisors, whose sum is σ = 31357236508416. Its totient is φ = 1567516262400.

The previous prime is 7672574300147. The next prime is 7672574300161. The reversal of 7672574300160 is 610034752767.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7672574300161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174419272 + ... + 3174421688.

It is an arithmetic number, because the mean of its divisors is an integer number (25125990792).

Almost surely, 2^{7672574300160} is an apocalyptic number.

7672574300160 is a gapful number since it is divisible by the number (70) 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 7672574300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678618254208).

7672574300160 is an abundant number, since it is smaller than the sum of its proper divisors (23684662208256).

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

7672574300160 is a wasteful number, since it uses less digits than its factorization.

7672574300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 7672574300160 in words is "seven trillion, six hundred seventy-two billion, five hundred seventy-four million, three hundred thousand, one hundred sixty".