7486290000 has 800 divisors, whose sum is σ = 32632554240. Its totient is φ = 1603584000.

The previous prime is 7486289963. The next prime is 7486290001. The reversal of 7486290000 is 926847.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7486290001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32129884 + ... + 32130116.

Almost surely, 2^7486290000 is an apocalyptic number.

7486290000 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 7486290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316277120).

7486290000 is an abundant number, since it is smaller than the sum of its proper divisors (25146264240).

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

7486290000 is a wasteful number, since it uses less digits than its factorization.

7486290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7486290000 is about 86523.3494497295. The cubic root of 7486290000 is about 1956.2403634008.

The spelling of 7486290000 in words is "seven billion, four hundred eighty-six million, two hundred ninety thousand".