7390414080 has 720 divisors, whose sum is σ = 32053190400. Its totient is φ = 1587216384.

The previous prime is 7390414061. The next prime is 7390414121. The reversal of 7390414080 is 804140937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12337621 + ... + 12338219.

It is an arithmetic number, because the mean of its divisors is an integer number (44518320).

Almost surely, 2^7390414080 is an apocalyptic number.

7390414080 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 7390414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026595200).

7390414080 is an abundant number, since it is smaller than the sum of its proper divisors (24662776320).

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

7390414080 is a wasteful number, since it uses less digits than its factorization.

7390414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 633 counting only the distinct ones).

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

The square root of 7390414080 is about 85967.5175865862. The cubic root of 7390414080 is about 1947.8533537203.

The spelling of 7390414080 in words is "seven billion, three hundred ninety million, four hundred fourteen thousand, eighty".