7367461920 has 480 divisors, whose sum is σ = 32006354688. Its totient is φ = 1554204672.

The previous prime is 7367461879. The next prime is 7367461943. The reversal of 7367461920 is 291647637.

7367461920 is a `hidden beast` number, since 7 + 3 + 6 + 7 + 4 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1176237 + ... + 1182483.

Almost surely, 2^7367461920 is an apocalyptic number.

7367461920 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 7367461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003177344).

7367461920 is an abundant number, since it is smaller than the sum of its proper divisors (24638892768).

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

7367461920 is a wasteful number, since it uses less digits than its factorization.

7367461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7367461920 is about 85833.9205675705. The cubic root of 7367461920 is about 1945.8348017827.

The spelling of 7367461920 in words is "seven billion, three hundred sixty-seven million, four hundred sixty-one thousand, nine hundred twenty".