7896601440 has 768 divisors, whose sum is σ = 34749388800. Its totient is φ = 1630347264.

The previous prime is 7896601423. The next prime is 7896601481. The reversal of 7896601440 is 441066987.

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 127 ways as a sum of consecutive naturals, for example, 20835171 + ... + 20835549.

It is an arithmetic number, because the mean of its divisors is an integer number (45246600).

Almost surely, 2^7896601440 is an apocalyptic number.

7896601440 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 7896601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

7896601440 is an abundant number, since it is smaller than the sum of its proper divisors (26852787360).

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

7896601440 is a wasteful number, since it uses less digits than its factorization.

7896601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7896601440 is about 88862.8237228595. The cubic root of 7896601440 is about 1991.3460620203.

The spelling of 7896601440 in words is "seven billion, eight hundred ninety-six million, six hundred one thousand, four hundred forty".