7148977920 has 576 divisors, whose sum is σ = 30022272000. Its totient is φ = 1576157184.

The previous prime is 7148977919. The next prime is 7148977933. The reversal of 7148977920 is 297798417.

7148977920 is a `hidden beast` number, since 7 + 1 + 489 + 77 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7148977920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015171 + ... + 7016189.

It is an arithmetic number, because the mean of its divisors is an integer number (52122000).

Almost surely, 2^7148977920 is an apocalyptic number.

7148977920 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 7148977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011136000).

7148977920 is an abundant number, since it is smaller than the sum of its proper divisors (22873294080).

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

7148977920 is a wasteful number, since it uses less digits than its factorization.

7148977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The square root of 7148977920 is about 84551.6287247029. The cubic root of 7148977920 is about 1926.4067230443.

The spelling of 7148977920 in words is "seven billion, one hundred forty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".