6133698480 has 480 divisors, whose sum is σ = 24301819584. Its totient is φ = 1268047872.

The previous prime is 6133698437. The next prime is 6133698509. The reversal of 6133698480 is 848963316.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8102262 + ... + 8103018.

Almost surely, 2^6133698480 is an apocalyptic number.

6133698480 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 6133698480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150909792).

6133698480 is an abundant number, since it is smaller than the sum of its proper divisors (18168121104).

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

6133698480 is a wasteful number, since it uses less digits than its factorization.

6133698480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 6133698480 is about 78317.9320462434. The cubic root of 6133698480 is about 1830.5185785849.

The spelling of 6133698480 in words is "six billion, one hundred thirty-three million, six hundred ninety-eight thousand, four hundred eighty".