742916996640 has 1728 divisors, whose sum is σ = 3450841833600. Its totient is φ = 148361601024.

The previous prime is 742916996611. The next prime is 742916996681. The reversal of 742916996640 is 46699619247.

742916996640 is a `hidden beast` number, since 7 + 429 + 1 + 69 + 96 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 679703934 + ... + 679705026.

It is an arithmetic number, because the mean of its divisors is an integer number (1997014950).

Almost surely, 2^742916996640 is an apocalyptic number.

742916996640 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 742916996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725420916800).

742916996640 is an abundant number, since it is smaller than the sum of its proper divisors (2707924836960).

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

742916996640 is a wasteful number, since it uses less digits than its factorization.

742916996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 742916996640 in words is "seven hundred forty-two billion, nine hundred sixteen million, nine hundred ninety-six thousand, six hundred forty".