7401960384 has 168 divisors, whose sum is σ = 24534650448. Its totient is φ = 1952133120.

The previous prime is 7401960367. The next prime is 7401960403. The reversal of 7401960384 is 4830691047.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92044 + ... + 152564.

It is an arithmetic number, because the mean of its divisors is an integer number (146039586).

Almost surely, 2^7401960384 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 7401960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267325224).

7401960384 is an abundant number, since it is smaller than the sum of its proper divisors (17132690064).

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

7401960384 is a wasteful number, since it uses less digits than its factorization.

7401960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60563 (or 60546 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 7401960384 is about 86034.6464164292. The cubic root of 7401960384 is about 1948.8672258485.

The spelling of 7401960384 in words is "seven billion, four hundred one million, nine hundred sixty thousand, three hundred eighty-four".