7494919740 has 768 divisors, whose sum is σ = 31352832000. Its totient is φ = 1439493120.

The previous prime is 7494919717. The next prime is 7494919741. The reversal of 7494919740 is 479194947.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct 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 (7494919741) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41870971 + ... + 41871149.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^7494919740 is an apocalyptic number.

7494919740 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 7494919740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416000).

7494919740 is an abundant number, since it is smaller than the sum of its proper divisors (23857912260).

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

7494919740 is a wasteful number, since it uses less digits than its factorization.

7494919740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7494919740 is about 86573.2045150230. The cubic root of 7494919740 is about 1956.9917530779.

The spelling of 7494919740 in words is "seven billion, four hundred ninety-four million, nine hundred nineteen thousand, seven hundred forty".