7870490496 has 512 divisors, whose sum is σ = 26879040000. Its totient is φ = 2263726080.

The previous prime is 7870490491. The next prime is 7870490627. The reversal of 7870490496 is 6940940787.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7870490491) 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, 133398115 + ... + 133398173.

It is an arithmetic number, because the mean of its divisors is an integer number (52498125).

Almost surely, 2^7870490496 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 7870490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439520000).

7870490496 is an abundant number, since it is smaller than the sum of its proper divisors (19008549504).

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

7870490496 is a wasteful number, since it uses less digits than its factorization.

7870490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7870490496 is about 88715.7849314315. The cubic root of 7870490496 is about 1989.1487732492.

The spelling of 7870490496 in words is "seven billion, eight hundred seventy million, four hundred ninety thousand, four hundred ninety-six".