7401696120 has 384 divisors, whose sum is σ = 29913287040. Its totient is φ = 1545523200.

The previous prime is 7401696109. The next prime is 7401696139. The reversal of 7401696120 is 216961047.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3307642 + ... + 3309878.

It is an arithmetic number, because the mean of its divisors is an integer number (77899185).

Almost surely, 2^7401696120 is an apocalyptic number.

7401696120 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 7401696120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956643520).

7401696120 is an abundant number, since it is smaller than the sum of its proper divisors (22511590920).

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

7401696120 is a wasteful number, since it uses less digits than its factorization.

7401696120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7401696120 is about 86033.1106028371. The cubic root of 7401696120 is about 1948.8440328225.

The spelling of 7401696120 in words is "seven billion, four hundred one million, six hundred ninety-six thousand, one hundred twenty".