7378007040 has 528 divisors, whose sum is σ = 28130692800. Its totient is φ = 1828749312.

The previous prime is 7378007027. The next prime is 7378007041. The reversal of 7378007040 is 407008737.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7378006986 and 7378007004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7378007041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139207654 + ... + 139207706.

Almost surely, 2^7378007040 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 7378007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065346400).

7378007040 is an abundant number, since it is smaller than the sum of its proper divisors (20752685760).

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

7378007040 is a wasteful number, since it uses less digits than its factorization.

7378007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7378007040 is about 85895.3260660905. The cubic root of 7378007040 is about 1946.7627233100.

The spelling of 7378007040 in words is "seven billion, three hundred seventy-eight million, seven thousand, forty".