7387664749920 has 1536 divisors, whose sum is σ = 32728071720960. Its totient is φ = 1514729963520.

The previous prime is 7387664749903. The next prime is 7387664749921. The reversal of 7387664749920 is 299474667837.

It is a happy number.

7387664749920 is a `hidden beast` number, since 7 + 3 + 8 + 7 + 66 + 474 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×7387664749920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7387664749921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4948200694 + ... + 4948202186.

It is an arithmetic number, because the mean of its divisors is an integer number (21307338360).

Almost surely, 2^{7387664749920} is an apocalyptic number.

7387664749920 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 7387664749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364035860480).

7387664749920 is an abundant number, since it is smaller than the sum of its proper divisors (25340406971040).

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

7387664749920 is a wasteful number, since it uses less digits than its factorization.

7387664749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 7387664749920 in words is "seven trillion, three hundred eighty-seven billion, six hundred sixty-four million, seven hundred forty-nine thousand, nine hundred twenty".