7924649040 has 1280 divisors, whose sum is σ = 37026201600. Its totient is φ = 1509580800.

The previous prime is 7924649039. The next prime is 7924649053. The reversal of 7924649040 is 409464297.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149521654 + ... + 149521706.

It is an arithmetic number, because the mean of its divisors is an integer number (28926720).

Almost surely, 2^7924649040 is an apocalyptic number.

7924649040 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 7924649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513100800).

7924649040 is an abundant number, since it is smaller than the sum of its proper divisors (29101552560).

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

7924649040 is a wasteful number, since it uses less digits than its factorization.

7924649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7924649040 is about 89020.4978642560. The cubic root of 7924649040 is about 1993.7009350517.

The spelling of 7924649040 in words is "seven billion, nine hundred twenty-four million, six hundred forty-nine thousand, forty".