6754133511720 has 384 divisors, whose sum is σ = 25180061587200. Its totient is φ = 1538071400448.

The previous prime is 6754133511677. The next prime is 6754133511737. The reversal of 6754133511720 is 271153314576.

6754133511720 is a `hidden beast` number, since 6 + 7 + 54 + 13 + 3 + 511 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947413116 + ... + 947420244.

It is an arithmetic number, because the mean of its divisors is an integer number (65573077050).

Almost surely, 2^{6754133511720} is an apocalyptic number.

6754133511720 is a gapful number since it is divisible by the number (60) 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 6754133511720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590030793600).

6754133511720 is an abundant number, since it is smaller than the sum of its proper divisors (18425928075480).

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

6754133511720 is a wasteful number, since it uses less digits than its factorization.

6754133511720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 6754133511720 in words is "six trillion, seven hundred fifty-four billion, one hundred thirty-three million, five hundred eleven thousand, seven hundred twenty".