7459849920 has 448 divisors, whose sum is σ = 26217676800. Its totient is φ = 1789931520.

The previous prime is 7459849867. The next prime is 7459849931. The reversal of 7459849920 is 299489547.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44669677 + ... + 44669843.

It is an arithmetic number, because the mean of its divisors is an integer number (58521600).

Almost surely, 2^7459849920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7459849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108838400).

7459849920 is an abundant number, since it is smaller than the sum of its proper divisors (18757826880).

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

7459849920 is a wasteful number, since it uses less digits than its factorization.

7459849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The square root of 7459849920 is about 86370.4227151865. The cubic root of 7459849920 is about 1953.9346301466.

The spelling of 7459849920 in words is "seven billion, four hundred fifty-nine million, eight hundred forty-nine thousand, nine hundred twenty".